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elliptic curve diffie hellman

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This commit is contained in:
Mike Hamburg 2010-12-09 14:16:11 -08:00
parent f28119699c
commit 54f531d8c2
2 changed files with 29 additions and 25 deletions
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4
core/ecc.js
View file

@ -341,6 +341,10 @@ sjcl.ecc.elGamal.publicKey.prototype = {
sjcl.ecc.elGamal.secretKey.prototype = {
unkem: function(tag) {
return sjcl.hash.sha256.hash(this._curve.fromBits(tag).mult(this._exponent).toBits());
},
dh: function(pk) {
return sjcl.hash.sha256.hash(pk._point.mult(this._exponent).toBits());
}
};

50
sjcl.js
View file

@ -1,38 +1,38 @@
"use strict";var sjcl={cipher:{},hash:{},mode:{},misc:{},codec:{},exception:{corrupt:function(a){this.toString=function(){return"CORRUPT: "+this.message};this.message=a},invalid:function(a){this.toString=function(){return"INVALID: "+this.message};this.message=a},bug:function(a){this.toString=function(){return"BUG: "+this.message};this.message=a},notReady:function(a){this.toString=function(){return"GENERATOR NOT READY: "+this.message};this.message=a}}};
sjcl.cipher.aes=function(a){this.m[0][0][0]||this.F();var b,c,d,e,f=this.m[0][4],g=this.m[1];b=a.length;var h=1;if(b!==4&&b!==6&&b!==8)throw new sjcl.exception.invalid("invalid aes key size");this.c=[d=a.slice(0),e=[]];for(a=b;a<4*b+28;a++){c=d[a-1];if(a%b===0||b===8&&a%b===4){c=f[c>>>24]<<24^f[c>>16&255]<<16^f[c>>8&255]<<8^f[c&255];if(a%b===0){c=c<<8^c>>>24^h<<24;h=h<<1^(h>>7)*283}}d[a]=d[a-b]^c}for(b=0;a;b++,a--){c=d[b&3?a:a-4];e[b]=a<=4||b<4?c:g[0][f[c>>>24]]^g[1][f[c>>16&255]]^g[2][f[c>>8&255]]^
sjcl.cipher.aes=function(a){this.m[0][0][0]||this.I();var b,c,d,e,f=this.m[0][4],g=this.m[1];b=a.length;var h=1;if(b!==4&&b!==6&&b!==8)throw new sjcl.exception.invalid("invalid aes key size");this.c=[d=a.slice(0),e=[]];for(a=b;a<4*b+28;a++){c=d[a-1];if(a%b===0||b===8&&a%b===4){c=f[c>>>24]<<24^f[c>>16&255]<<16^f[c>>8&255]<<8^f[c&255];if(a%b===0){c=c<<8^c>>>24^h<<24;h=h<<1^(h>>7)*283}}d[a]=d[a-b]^c}for(b=0;a;b++,a--){c=d[b&3?a:a-4];e[b]=a<=4||b<4?c:g[0][f[c>>>24]]^g[1][f[c>>16&255]]^g[2][f[c>>8&255]]^
g[3][f[c&255]]}};
sjcl.cipher.aes.prototype={encrypt:function(a){return this.O(a,0)},decrypt:function(a){return this.O(a,1)},m:[[[],[],[],[],[]],[[],[],[],[],[]]],F:function(){var a=this.m[0],b=this.m[1],c=a[4],d=b[4],e,f,g,h=[],i=[],j,k,l,m;for(e=0;e<0x100;e++)i[(h[e]=e<<1^(e>>7)*283)^e]=e;for(f=g=0;!c[f];f^=j||1,g=i[g]||1){l=g^g<<1^g<<2^g<<3^g<<4;l=l>>8^l&255^99;c[f]=l;d[l]=f;k=h[e=h[j=h[f]]];m=k*0x1010101^e*0x10001^j*0x101^f*0x1010100;k=h[l]*0x101^l*0x1010100;for(e=0;e<4;e++){a[e][f]=k=k<<24^k>>>8;b[e][l]=m=m<<24^m>>>8}}for(e=
0;e<5;e++){a[e]=a[e].slice(0);b[e]=b[e].slice(0)}},O:function(a,b){if(a.length!==4)throw new sjcl.exception.invalid("invalid aes block size");var c=this.c[b],d=a[0]^c[0],e=a[b?3:1]^c[1],f=a[2]^c[2];a=a[b?1:3]^c[3];var g,h,i,j=c.length/4-2,k,l=4,m=[0,0,0,0];g=this.m[b];var n=g[0],o=g[1],p=g[2],q=g[3],r=g[4];for(k=0;k<j;k++){g=n[d>>>24]^o[e>>16&255]^p[f>>8&255]^q[a&255]^c[l];h=n[e>>>24]^o[f>>16&255]^p[a>>8&255]^q[d&255]^c[l+1];i=n[f>>>24]^o[a>>16&255]^p[d>>8&255]^q[e&255]^c[l+2];a=n[a>>>24]^o[d>>16&
sjcl.cipher.aes.prototype={encrypt:function(a){return this.Q(a,0)},decrypt:function(a){return this.Q(a,1)},m:[[[],[],[],[],[]],[[],[],[],[],[]]],I:function(){var a=this.m[0],b=this.m[1],c=a[4],d=b[4],e,f,g,h=[],i=[],j,k,l,m;for(e=0;e<0x100;e++)i[(h[e]=e<<1^(e>>7)*283)^e]=e;for(f=g=0;!c[f];f^=j||1,g=i[g]||1){l=g^g<<1^g<<2^g<<3^g<<4;l=l>>8^l&255^99;c[f]=l;d[l]=f;k=h[e=h[j=h[f]]];m=k*0x1010101^e*0x10001^j*0x101^f*0x1010100;k=h[l]*0x101^l*0x1010100;for(e=0;e<4;e++){a[e][f]=k=k<<24^k>>>8;b[e][l]=m=m<<24^m>>>8}}for(e=
0;e<5;e++){a[e]=a[e].slice(0);b[e]=b[e].slice(0)}},Q:function(a,b){if(a.length!==4)throw new sjcl.exception.invalid("invalid aes block size");var c=this.c[b],d=a[0]^c[0],e=a[b?3:1]^c[1],f=a[2]^c[2];a=a[b?1:3]^c[3];var g,h,i,j=c.length/4-2,k,l=4,m=[0,0,0,0];g=this.m[b];var n=g[0],o=g[1],p=g[2],q=g[3],r=g[4];for(k=0;k<j;k++){g=n[d>>>24]^o[e>>16&255]^p[f>>8&255]^q[a&255]^c[l];h=n[e>>>24]^o[f>>16&255]^p[a>>8&255]^q[d&255]^c[l+1];i=n[f>>>24]^o[a>>16&255]^p[d>>8&255]^q[e&255]^c[l+2];a=n[a>>>24]^o[d>>16&
255]^p[e>>8&255]^q[f&255]^c[l+3];l+=4;d=g;e=h;f=i}for(k=0;k<4;k++){m[b?3&-k:k]=r[d>>>24]<<24^r[e>>16&255]<<16^r[f>>8&255]<<8^r[a&255]^c[l++];g=d;d=e;e=f;f=a;a=g}return m}};
sjcl.bitArray={bitSlice:function(a,b,c){a=sjcl.bitArray.$(a.slice(b/32),32-(b&31)).slice(1);return c===undefined?a:sjcl.bitArray.clamp(a,c-b)},extract:function(a,b,c){var d=Math.floor(-b-c&31);return((b+c-1^b)&-32?a[b/32|0]<<32-d^a[b/32+1|0]>>>d:a[b/32|0]>>>d)&(1<<c)-1},concat:function(a,b){if(a.length===0||b.length===0)return a.concat(b);var c=a[a.length-1],d=sjcl.bitArray.getPartial(c);return d===32?a.concat(b):sjcl.bitArray.$(b,d,c|0,a.slice(0,a.length-1))},bitLength:function(a){var b=a.length;
if(b===0)return 0;return(b-1)*32+sjcl.bitArray.getPartial(a[b-1])},clamp:function(a,b){if(a.length*32<b)return a;a=a.slice(0,Math.ceil(b/32));var c=a.length;b&=31;if(c>0&&b)a[c-1]=sjcl.bitArray.partial(b,a[c-1]&2147483648>>b-1,1);return a},partial:function(a,b,c){if(a===32)return b;return(c?b|0:b<<32-a)+a*0x10000000000},getPartial:function(a){return Math.round(a/0x10000000000)||32},equal:function(a,b){if(sjcl.bitArray.bitLength(a)!==sjcl.bitArray.bitLength(b))return false;var c=0,d;for(d=0;d<a.length;d++)c|=
a[d]^b[d];return c===0},$:function(a,b,c,d){var e;e=0;if(d===undefined)d=[];for(;b>=32;b-=32){d.push(c);c=0}if(b===0)return d.concat(a);for(e=0;e<a.length;e++){d.push(c|a[e]>>>b);c=a[e]<<32-b}e=a.length?a[a.length-1]:0;a=sjcl.bitArray.getPartial(e);d.push(sjcl.bitArray.partial(b+a&31,b+a>32?c:d.pop(),1));return d},i:function(a,b){return[a[0]^b[0],a[1]^b[1],a[2]^b[2],a[3]^b[3]]}};
sjcl.codec.utf8String={fromBits:function(a){var b="",c=sjcl.bitArray.bitLength(a),d,e;for(d=0;d<c/8;d++){if((d&3)===0)e=a[d/4];b+=String.fromCharCode(e>>>24);e<<=8}return decodeURIComponent(escape(b))},toBits:function(a){a=unescape(encodeURIComponent(a));var b=[],c,d=0;for(c=0;c<a.length;c++){d=d<<8|a.charCodeAt(c);if((c&3)===3){b.push(d);d=0}}c&3&&b.push(sjcl.bitArray.partial(8*(c&3),d));return b}};
sjcl.codec.hex={fromBits:function(a){var b="",c;for(c=0;c<a.length;c++)b+=((a[c]|0)+0xf00000000000).toString(16).substr(4);return b.substr(0,sjcl.bitArray.bitLength(a)/4)},toBits:function(a){var b,c=[],d;a=a.replace(/\s|0x/g,"");d=a.length;a+="00000000";for(b=0;b<a.length;b+=8)c.push(parseInt(a.substr(b,8),16)^0);return sjcl.bitArray.clamp(c,d*4)}};
sjcl.codec.base64={L:"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",fromBits:function(a,b){var c="",d,e=0,f=sjcl.codec.base64.L,g=0,h=sjcl.bitArray.bitLength(a);for(d=0;c.length*6<h;){c+=f.charAt((g^a[d]>>>e)>>>26);if(e<6){g=a[d]<<6-e;e+=26;d++}else{g<<=6;e-=6}}for(;c.length&3&&!b;)c+="=";return c},toBits:function(a){a=a.replace(/\s|=/g,"");var b=[],c,d=0,e=sjcl.codec.base64.L,f=0,g;for(c=0;c<a.length;c++){g=e.indexOf(a.charAt(c));if(g<0)throw new sjcl.exception.invalid("this isn't base64!");
if(d>26){d-=26;b.push(f^g>>>d);f=g<<32-d}else{d+=6;f^=g<<32-d}}d&56&&b.push(sjcl.bitArray.partial(d&56,f,1));return b}};sjcl.hash.sha256=function(a){this.c[0]||this.F();if(a){this.s=a.s.slice(0);this.n=a.n.slice(0);this.j=a.j}else this.reset()};sjcl.hash.sha256.hash=function(a){return(new sjcl.hash.sha256).update(a).finalize()};
sjcl.hash.sha256.prototype={blockSize:512,reset:function(){this.s=this.W.slice(0);this.n=[];this.j=0;return this},update:function(a){if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);var b,c=this.n=sjcl.bitArray.concat(this.n,a);b=this.j;a=this.j=b+sjcl.bitArray.bitLength(a);for(b=512+b&-512;b<=a;b+=512)this.K(c.splice(0,16));return this},finalize:function(){var a,b=this.n,c=this.s;b=sjcl.bitArray.concat(b,[sjcl.bitArray.partial(1,1)]);for(a=b.length+2;a&15;a++)b.push(0);b.push(Math.floor(this.j/
4294967296));for(b.push(this.j|0);b.length;)this.K(b.splice(0,16));this.reset();return c},W:[],c:[],F:function(){function a(e){return(e-Math.floor(e))*0x100000000|0}var b=0,c=2,d;a:for(;b<64;c++){for(d=2;d*d<=c;d++)if(c%d===0)continue a;if(b<8)this.W[b]=a(Math.pow(c,0.5));this.c[b]=a(Math.pow(c,1/3));b++}},K:function(a){var b,c,d=a.slice(0),e=this.s,f=this.c,g=e[0],h=e[1],i=e[2],j=e[3],k=e[4],l=e[5],m=e[6],n=e[7];for(a=0;a<64;a++){if(a<16)b=d[a];else{b=d[a+1&15];c=d[a+14&15];b=d[a&15]=(b>>>7^b>>>18^
sjcl.codec.base64={N:"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/",fromBits:function(a,b){var c="",d,e=0,f=sjcl.codec.base64.N,g=0,h=sjcl.bitArray.bitLength(a);for(d=0;c.length*6<h;){c+=f.charAt((g^a[d]>>>e)>>>26);if(e<6){g=a[d]<<6-e;e+=26;d++}else{g<<=6;e-=6}}for(;c.length&3&&!b;)c+="=";return c},toBits:function(a){a=a.replace(/\s|=/g,"");var b=[],c,d=0,e=sjcl.codec.base64.N,f=0,g;for(c=0;c<a.length;c++){g=e.indexOf(a.charAt(c));if(g<0)throw new sjcl.exception.invalid("this isn't base64!");
if(d>26){d-=26;b.push(f^g>>>d);f=g<<32-d}else{d+=6;f^=g<<32-d}}d&56&&b.push(sjcl.bitArray.partial(d&56,f,1));return b}};sjcl.hash.sha256=function(a){this.c[0]||this.I();if(a){this.s=a.s.slice(0);this.n=a.n.slice(0);this.j=a.j}else this.reset()};sjcl.hash.sha256.hash=function(a){return(new sjcl.hash.sha256).update(a).finalize()};
sjcl.hash.sha256.prototype={blockSize:512,reset:function(){this.s=this.X.slice(0);this.n=[];this.j=0;return this},update:function(a){if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);var b,c=this.n=sjcl.bitArray.concat(this.n,a);b=this.j;a=this.j=b+sjcl.bitArray.bitLength(a);for(b=512+b&-512;b<=a;b+=512)this.M(c.splice(0,16));return this},finalize:function(){var a,b=this.n,c=this.s;b=sjcl.bitArray.concat(b,[sjcl.bitArray.partial(1,1)]);for(a=b.length+2;a&15;a++)b.push(0);b.push(Math.floor(this.j/
4294967296));for(b.push(this.j|0);b.length;)this.M(b.splice(0,16));this.reset();return c},X:[],c:[],I:function(){function a(e){return(e-Math.floor(e))*0x100000000|0}var b=0,c=2,d;a:for(;b<64;c++){for(d=2;d*d<=c;d++)if(c%d===0)continue a;if(b<8)this.X[b]=a(Math.pow(c,0.5));this.c[b]=a(Math.pow(c,1/3));b++}},M:function(a){var b,c,d=a.slice(0),e=this.s,f=this.c,g=e[0],h=e[1],i=e[2],j=e[3],k=e[4],l=e[5],m=e[6],n=e[7];for(a=0;a<64;a++){if(a<16)b=d[a];else{b=d[a+1&15];c=d[a+14&15];b=d[a&15]=(b>>>7^b>>>18^
b>>>3^b<<25^b<<14)+(c>>>17^c>>>19^c>>>10^c<<15^c<<13)+d[a&15]+d[a+9&15]|0}b=b+n+(k>>>6^k>>>11^k>>>25^k<<26^k<<21^k<<7)+(m^k&(l^m))+f[a];n=m;m=l;l=k;k=j+b|0;j=i;i=h;h=g;g=b+(h&i^j&(h^i))+(h>>>2^h>>>13^h>>>22^h<<30^h<<19^h<<10)|0}e[0]=e[0]+g|0;e[1]=e[1]+h|0;e[2]=e[2]+i|0;e[3]=e[3]+j|0;e[4]=e[4]+k|0;e[5]=e[5]+l|0;e[6]=e[6]+m|0;e[7]=e[7]+n|0}};
sjcl.mode.ccm={name:"ccm",encrypt:function(a,b,c,d,e){var f,g=b.slice(0),h=sjcl.bitArray,i=h.bitLength(c)/8,j=h.bitLength(g)/8;e=e||64;d=d||[];if(i<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(f=2;f<4&&j>>>8*f;f++);if(f<15-i)f=15-i;c=h.clamp(c,8*(15-f));b=sjcl.mode.ccm.N(a,b,c,d,e,f);g=sjcl.mode.ccm.P(a,g,c,b,e,f);return h.concat(g.data,g.tag)},decrypt:function(a,b,c,d,e){e=e||64;d=d||[];var f=sjcl.bitArray,g=f.bitLength(c)/8,h=f.bitLength(b),i=f.clamp(b,h-e),j=f.bitSlice(b,
h-e);h=(h-e)/8;if(g<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(b=2;b<4&&h>>>8*b;b++);if(b<15-g)b=15-g;c=f.clamp(c,8*(15-b));i=sjcl.mode.ccm.P(a,i,c,j,e,b);a=sjcl.mode.ccm.N(a,i.data,c,d,e,b);if(!f.equal(i.tag,a))throw new sjcl.exception.corrupt("ccm: tag doesn't match");return i.data},N:function(a,b,c,d,e,f){var g=[],h=sjcl.bitArray,i=h.i;e/=8;if(e%2||e<4||e>16)throw new sjcl.exception.invalid("ccm: invalid tag length");if(d.length>0xffffffff||b.length>0xffffffff)throw new sjcl.exception.bug("ccm: can't deal with 4GiB or more data");
f=[h.partial(8,(d.length?64:0)|e-2<<2|f-1)];f=h.concat(f,c);f[3]|=h.bitLength(b)/8;f=a.encrypt(f);if(d.length){c=h.bitLength(d)/8;if(c<=65279)g=[h.partial(16,c)];else if(c<=0xffffffff)g=h.concat([h.partial(16,65534)],[c]);g=h.concat(g,d);for(d=0;d<g.length;d+=4)f=a.encrypt(i(f,g.slice(d,d+4)))}for(d=0;d<b.length;d+=4)f=a.encrypt(i(f,b.slice(d,d+4)));return h.clamp(f,e*8)},P:function(a,b,c,d,e,f){var g,h=sjcl.bitArray;g=h.i;var i=b.length,j=h.bitLength(b);c=h.concat([h.partial(8,f-1)],c).concat([0,
sjcl.mode.ccm={name:"ccm",encrypt:function(a,b,c,d,e){var f,g=b.slice(0),h=sjcl.bitArray,i=h.bitLength(c)/8,j=h.bitLength(g)/8;e=e||64;d=d||[];if(i<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(f=2;f<4&&j>>>8*f;f++);if(f<15-i)f=15-i;c=h.clamp(c,8*(15-f));b=sjcl.mode.ccm.P(a,b,c,d,e,f);g=sjcl.mode.ccm.R(a,g,c,b,e,f);return h.concat(g.data,g.tag)},decrypt:function(a,b,c,d,e){e=e||64;d=d||[];var f=sjcl.bitArray,g=f.bitLength(c)/8,h=f.bitLength(b),i=f.clamp(b,h-e),j=f.bitSlice(b,
h-e);h=(h-e)/8;if(g<7)throw new sjcl.exception.invalid("ccm: iv must be at least 7 bytes");for(b=2;b<4&&h>>>8*b;b++);if(b<15-g)b=15-g;c=f.clamp(c,8*(15-b));i=sjcl.mode.ccm.R(a,i,c,j,e,b);a=sjcl.mode.ccm.P(a,i.data,c,d,e,b);if(!f.equal(i.tag,a))throw new sjcl.exception.corrupt("ccm: tag doesn't match");return i.data},P:function(a,b,c,d,e,f){var g=[],h=sjcl.bitArray,i=h.i;e/=8;if(e%2||e<4||e>16)throw new sjcl.exception.invalid("ccm: invalid tag length");if(d.length>0xffffffff||b.length>0xffffffff)throw new sjcl.exception.bug("ccm: can't deal with 4GiB or more data");
f=[h.partial(8,(d.length?64:0)|e-2<<2|f-1)];f=h.concat(f,c);f[3]|=h.bitLength(b)/8;f=a.encrypt(f);if(d.length){c=h.bitLength(d)/8;if(c<=65279)g=[h.partial(16,c)];else if(c<=0xffffffff)g=h.concat([h.partial(16,65534)],[c]);g=h.concat(g,d);for(d=0;d<g.length;d+=4)f=a.encrypt(i(f,g.slice(d,d+4)))}for(d=0;d<b.length;d+=4)f=a.encrypt(i(f,b.slice(d,d+4)));return h.clamp(f,e*8)},R:function(a,b,c,d,e,f){var g,h=sjcl.bitArray;g=h.i;var i=b.length,j=h.bitLength(b);c=h.concat([h.partial(8,f-1)],c).concat([0,
0,0]).slice(0,4);d=h.bitSlice(g(d,a.encrypt(c)),0,e);if(!i)return{tag:d,data:[]};for(g=0;g<i;g+=4){c[3]++;e=a.encrypt(c);b[g]^=e[0];b[g+1]^=e[1];b[g+2]^=e[2];b[g+3]^=e[3]}return{tag:d,data:h.clamp(b,j)}}};if(sjcl.beware===undefined)sjcl.beware={};
sjcl.beware["CBC mode is dangerous because it doesn't protect message integrity."]=function(){sjcl.mode.cbc={name:"cbc",encrypt:function(a,b,c,d){if(d&&d.length)throw new sjcl.exception.invalid("cbc can't authenticate data");if(sjcl.bitArray.bitLength(c)!==128)throw new sjcl.exception.invalid("cbc iv must be 128 bits");var e=sjcl.bitArray,f=e.i,g=e.bitLength(b),h=0,i=[];if(g&7)throw new sjcl.exception.invalid("pkcs#5 padding only works for multiples of a byte");for(d=0;h+128<=g;d+=4,h+=128){c=a.encrypt(f(c,
b.slice(d,d+4)));i.splice(d,0,c[0],c[1],c[2],c[3])}g=(16-(g>>3&15))*0x1010101;c=a.encrypt(f(c,e.concat(b,[g,g,g,g]).slice(d,d+4)));i.splice(d,0,c[0],c[1],c[2],c[3]);return i},decrypt:function(a,b,c,d){if(d&&d.length)throw new sjcl.exception.invalid("cbc can't authenticate data");if(sjcl.bitArray.bitLength(c)!==128)throw new sjcl.exception.invalid("cbc iv must be 128 bits");if(sjcl.bitArray.bitLength(b)&127||!b.length)throw new sjcl.exception.corrupt("cbc ciphertext must be a positive multiple of the block size");
var e=sjcl.bitArray,f=e.i,g,h=[];for(d=0;d<b.length;d+=4){g=b.slice(d,d+4);c=f(c,a.decrypt(g));h.splice(d,0,c[0],c[1],c[2],c[3]);c=g}g=h[d-1]&255;if(g==0||g>16)throw new sjcl.exception.corrupt("pkcs#5 padding corrupt");c=g*0x1010101;if(!e.equal(e.bitSlice([c,c,c,c],0,g*8),e.bitSlice(h,h.length*32-g*8,h.length*32)))throw new sjcl.exception.corrupt("pkcs#5 padding corrupt");return e.bitSlice(h,0,h.length*32-g*8)}}};
sjcl.mode.ocb2={name:"ocb2",encrypt:function(a,b,c,d,e,f){if(sjcl.bitArray.bitLength(c)!==128)throw new sjcl.exception.invalid("ocb iv must be 128 bits");var g,h=sjcl.mode.ocb2.I,i=sjcl.bitArray,j=i.i,k=[0,0,0,0];c=h(a.encrypt(c));var l,m=[];d=d||[];e=e||64;for(g=0;g+4<b.length;g+=4){l=b.slice(g,g+4);k=j(k,l);l=j(c,a.encrypt(j(c,l)));m.splice(g,0,l[0],l[1],l[2],l[3]);c=h(c)}l=b.slice(g);b=i.bitLength(l);g=a.encrypt(j(c,[0,0,0,b]));l=i.clamp(j(l,g),b);k=j(k,j(l,g));k=a.encrypt(j(k,j(c,h(c))));if(d.length)k=
j(k,f?d:sjcl.mode.ocb2.pmac(a,d));return m.concat(i.concat(l,i.clamp(k,e)))},decrypt:function(a,b,c,d,e,f){if(sjcl.bitArray.bitLength(c)!==128)throw new sjcl.exception.invalid("ocb iv must be 128 bits");e=e||64;var g=sjcl.mode.ocb2.I,h=sjcl.bitArray,i=h.i,j=[0,0,0,0],k=g(a.encrypt(c)),l,m,n=sjcl.bitArray.bitLength(b)-e,o=[];d=d||[];for(c=0;c+4<n/32;c+=4){l=i(k,a.decrypt(i(k,b.slice(c,c+4))));j=i(j,l);o.splice(c,0,l[0],l[1],l[2],l[3]);k=g(k)}m=n-c*32;l=a.encrypt(i(k,[0,0,0,m]));l=i(l,h.clamp(b.slice(c),
m));j=i(j,l);j=a.encrypt(i(j,i(k,g(k))));if(d.length)j=i(j,f?d:sjcl.mode.ocb2.pmac(a,d));if(!h.equal(h.clamp(j,e),h.bitSlice(b,n)))throw new sjcl.exception.corrupt("ocb: tag doesn't match");return o.concat(h.clamp(l,m))},pmac:function(a,b){var c,d=sjcl.mode.ocb2.I,e=sjcl.bitArray,f=e.i,g=[0,0,0,0],h=a.encrypt([0,0,0,0]);h=f(h,d(d(h)));for(c=0;c+4<b.length;c+=4){h=d(h);g=f(g,a.encrypt(f(h,b.slice(c,c+4))))}b=b.slice(c);if(e.bitLength(b)<128){h=f(h,d(h));b=e.concat(b,[2147483648|0])}g=f(g,b);return a.encrypt(f(d(f(h,
d(h))),g))},I:function(a){return[a[0]<<1^a[1]>>>31,a[1]<<1^a[2]>>>31,a[2]<<1^a[3]>>>31,a[3]<<1^(a[0]>>>31)*135]}};sjcl.misc.hmac=function(a,b){this.V=b=b||sjcl.hash.sha256;var c=[[],[]],d=b.prototype.blockSize/32;this.p=[new b,new b];if(a.length>d)a=b.hash(a);for(b=0;b<d;b++){c[0][b]=a[b]^909522486;c[1][b]=a[b]^1549556828}this.p[0].update(c[0]);this.p[1].update(c[1])};sjcl.misc.hmac.prototype.encrypt=sjcl.misc.hmac.prototype.mac=function(a,b){a=(new this.V(this.p[0])).update(a,b).finalize();return(new this.V(this.p[1])).update(a).finalize()};
sjcl.mode.ocb2={name:"ocb2",encrypt:function(a,b,c,d,e,f){if(sjcl.bitArray.bitLength(c)!==128)throw new sjcl.exception.invalid("ocb iv must be 128 bits");var g,h=sjcl.mode.ocb2.K,i=sjcl.bitArray,j=i.i,k=[0,0,0,0];c=h(a.encrypt(c));var l,m=[];d=d||[];e=e||64;for(g=0;g+4<b.length;g+=4){l=b.slice(g,g+4);k=j(k,l);l=j(c,a.encrypt(j(c,l)));m.splice(g,0,l[0],l[1],l[2],l[3]);c=h(c)}l=b.slice(g);b=i.bitLength(l);g=a.encrypt(j(c,[0,0,0,b]));l=i.clamp(j(l,g),b);k=j(k,j(l,g));k=a.encrypt(j(k,j(c,h(c))));if(d.length)k=
j(k,f?d:sjcl.mode.ocb2.pmac(a,d));return m.concat(i.concat(l,i.clamp(k,e)))},decrypt:function(a,b,c,d,e,f){if(sjcl.bitArray.bitLength(c)!==128)throw new sjcl.exception.invalid("ocb iv must be 128 bits");e=e||64;var g=sjcl.mode.ocb2.K,h=sjcl.bitArray,i=h.i,j=[0,0,0,0],k=g(a.encrypt(c)),l,m,n=sjcl.bitArray.bitLength(b)-e,o=[];d=d||[];for(c=0;c+4<n/32;c+=4){l=i(k,a.decrypt(i(k,b.slice(c,c+4))));j=i(j,l);o.splice(c,0,l[0],l[1],l[2],l[3]);k=g(k)}m=n-c*32;l=a.encrypt(i(k,[0,0,0,m]));l=i(l,h.clamp(b.slice(c),
m));j=i(j,l);j=a.encrypt(i(j,i(k,g(k))));if(d.length)j=i(j,f?d:sjcl.mode.ocb2.pmac(a,d));if(!h.equal(h.clamp(j,e),h.bitSlice(b,n)))throw new sjcl.exception.corrupt("ocb: tag doesn't match");return o.concat(h.clamp(l,m))},pmac:function(a,b){var c,d=sjcl.mode.ocb2.K,e=sjcl.bitArray,f=e.i,g=[0,0,0,0],h=a.encrypt([0,0,0,0]);h=f(h,d(d(h)));for(c=0;c+4<b.length;c+=4){h=d(h);g=f(g,a.encrypt(f(h,b.slice(c,c+4))))}b=b.slice(c);if(e.bitLength(b)<128){h=f(h,d(h));b=e.concat(b,[2147483648|0])}g=f(g,b);return a.encrypt(f(d(f(h,
d(h))),g))},K:function(a){return[a[0]<<1^a[1]>>>31,a[1]<<1^a[2]>>>31,a[2]<<1^a[3]>>>31,a[3]<<1^(a[0]>>>31)*135]}};sjcl.misc.hmac=function(a,b){this.W=b=b||sjcl.hash.sha256;var c=[[],[]],d=b.prototype.blockSize/32;this.p=[new b,new b];if(a.length>d)a=b.hash(a);for(b=0;b<d;b++){c[0][b]=a[b]^909522486;c[1][b]=a[b]^1549556828}this.p[0].update(c[0]);this.p[1].update(c[1])};sjcl.misc.hmac.prototype.encrypt=sjcl.misc.hmac.prototype.mac=function(a,b){a=(new this.W(this.p[0])).update(a,b).finalize();return(new this.W(this.p[1])).update(a).finalize()};
sjcl.misc.pbkdf2=function(a,b,c,d,e){c=c||1E3;if(d<0||c<0)throw sjcl.exception.invalid("invalid params to pbkdf2");if(typeof a==="string")a=sjcl.codec.utf8String.toBits(a);e=e||sjcl.misc.hmac;a=new e(a);var f,g,h,i,j=[],k=sjcl.bitArray;for(i=1;32*j.length<(d||1);i++){e=f=a.encrypt(k.concat(b,[i]));for(g=1;g<c;g++){f=a.encrypt(f);for(h=0;h<f.length;h++)e[h]^=f[h]}j=j.concat(e)}if(d)j=k.clamp(j,d);return j};
sjcl.random={randomWords:function(a,b){var c=[];b=this.isReady(b);var d;if(b===0)throw new sjcl.exception.notReady("generator isn't seeded");else b&2&&this.fa(!(b&1));for(b=0;b<a;b+=4){(b+1)%0x10000===0&&this.U();d=this.D();c.push(d[0],d[1],d[2],d[3])}this.U();return c.slice(0,a)},setDefaultParanoia:function(a){this.C=a},addEntropy:function(a,b,c){c=c||"user";var d,e,f=(new Date).valueOf(),g=this.w[c],h=this.isReady();d=this.M[c];if(d===undefined)d=this.M[c]=this.ca++;if(g===undefined)g=this.w[c]=0;
this.w[c]=(this.w[c]+1)%this.f.length;switch(typeof a){case "number":break;case "object":if(b===undefined)for(c=b=0;c<a.length;c++)for(e=a[c];e>0;){b++;e>>>=1}this.f[g].update([d,this.R++,2,b,f,a.length].concat(a));break;case "string":if(b===undefined)b=a.length;this.f[g].update([d,this.R++,3,b,f,a.length]);this.f[g].update(a);break;default:throw new sjcl.exception.bug("random: addEntropy only supports number, array or string");}this.o[g]+=b;this.k+=b;if(h===0){this.isReady()!==0&&this.T("seeded",
Math.max(this.l,this.k));this.T("progress",this.getProgress())}},isReady:function(a){a=this.J[a!==undefined?a:this.C];return this.l&&this.l>=a?this.o[0]>80&&(new Date).valueOf()>this.Y?3:1:this.k>=a?2:0},getProgress:function(a){a=this.J[a?a:this.C];return this.l>=a?1["0"]:this.k>a?1["0"]:this.k/a},startCollectors:function(){if(!this.q){if(window.addEventListener){window.addEventListener("load",this.t,false);window.addEventListener("mousemove",this.u,false)}else if(document.attachEvent){document.attachEvent("onload",
sjcl.random={randomWords:function(a,b){var c=[];b=this.isReady(b);var d;if(b===0)throw new sjcl.exception.notReady("generator isn't seeded");else b&2&&this.fa(!(b&1));for(b=0;b<a;b+=4){(b+1)%0x10000===0&&this.V();d=this.F();c.push(d[0],d[1],d[2],d[3])}this.V();return c.slice(0,a)},setDefaultParanoia:function(a){this.C=a},addEntropy:function(a,b,c){c=c||"user";var d,e,f=(new Date).valueOf(),g=this.w[c],h=this.isReady();d=this.O[c];if(d===undefined)d=this.O[c]=this.ca++;if(g===undefined)g=this.w[c]=0;
this.w[c]=(this.w[c]+1)%this.f.length;switch(typeof a){case "number":break;case "object":if(b===undefined)for(c=b=0;c<a.length;c++)for(e=a[c];e>0;){b++;e>>>=1}this.f[g].update([d,this.T++,2,b,f,a.length].concat(a));break;case "string":if(b===undefined)b=a.length;this.f[g].update([d,this.T++,3,b,f,a.length]);this.f[g].update(a);break;default:throw new sjcl.exception.bug("random: addEntropy only supports number, array or string");}this.o[g]+=b;this.k+=b;if(h===0){this.isReady()!==0&&this.U("seeded",
Math.max(this.l,this.k));this.U("progress",this.getProgress())}},isReady:function(a){a=this.L[a!==undefined?a:this.C];return this.l&&this.l>=a?this.o[0]>80&&(new Date).valueOf()>this.Z?3:1:this.k>=a?2:0},getProgress:function(a){a=this.L[a?a:this.C];return this.l>=a?1["0"]:this.k>a?1["0"]:this.k/a},startCollectors:function(){if(!this.q){if(window.addEventListener){window.addEventListener("load",this.t,false);window.addEventListener("mousemove",this.u,false)}else if(document.attachEvent){document.attachEvent("onload",
this.t);document.attachEvent("onmousemove",this.u)}else throw new sjcl.exception.bug("can't attach event");this.q=true}},stopCollectors:function(){if(this.q){if(window.removeEventListener){window.removeEventListener("load",this.t);window.removeEventListener("mousemove",this.u)}else if(window.detachEvent){window.detachEvent("onload",this.t);window.detachEvent("onmousemove",this.u)}this.q=false}},addEventListener:function(a,b){this.A[a][this.ba++]=b},removeEventListener:function(a,b){var c;a=this.A[a];
var d=[];for(c in a)a.hasOwnProperty(c)&&a[c]===b&&d.push(c);for(b=0;b<d.length;b++){c=d[b];delete a[c]}},f:[new sjcl.hash.sha256],o:[0],H:0,w:{},R:0,M:{},ca:0,l:0,k:0,Y:0,c:[0,0,0,0,0,0,0,0],h:[0,0,0,0],B:undefined,C:6,q:false,A:{progress:{},seeded:{}},ba:0,J:[0,48,64,96,128,192,0x100,384,512,768,1024],D:function(){for(var a=0;a<4;a++){this.h[a]=this.h[a]+1|0;if(this.h[a])break}return this.B.encrypt(this.h)},U:function(){this.c=this.D().concat(this.D());this.B=new sjcl.cipher.aes(this.c)},ea:function(a){this.c=
sjcl.hash.sha256.hash(this.c.concat(a));this.B=new sjcl.cipher.aes(this.c);for(a=0;a<4;a++){this.h[a]=this.h[a]+1|0;if(this.h[a])break}},fa:function(a){var b=[],c=0,d;this.Y=b[0]=(new Date).valueOf()+3E4;for(d=0;d<16;d++)b.push(Math.random()*0x100000000|0);for(d=0;d<this.f.length;d++){b=b.concat(this.f[d].finalize());c+=this.o[d];this.o[d]=0;if(!a&&this.H&1<<d)break}if(this.H>=1<<this.f.length){this.f.push(new sjcl.hash.sha256);this.o.push(0)}this.k-=c;if(c>this.l)this.l=c;this.H++;this.ea(b)},u:function(a){sjcl.random.addEntropy([a.x||
a.clientX||a.offsetX,a.y||a.clientY||a.offsetY],2,"mouse")},t:function(){sjcl.random.addEntropy(new Date,2,"loadtime")},T:function(a,b){var c;a=sjcl.random.A[a];var d=[];for(c in a)a.hasOwnProperty(c)&&d.push(a[c]);for(c=0;c<d.length;c++)d[c](b)}};
var d=[];for(c in a)a.hasOwnProperty(c)&&a[c]===b&&d.push(c);for(b=0;b<d.length;b++){c=d[b];delete a[c]}},f:[new sjcl.hash.sha256],o:[0],J:0,w:{},T:0,O:{},ca:0,l:0,k:0,Z:0,c:[0,0,0,0,0,0,0,0],h:[0,0,0,0],B:undefined,C:6,q:false,A:{progress:{},seeded:{}},ba:0,L:[0,48,64,96,128,192,0x100,384,512,768,1024],F:function(){for(var a=0;a<4;a++){this.h[a]=this.h[a]+1|0;if(this.h[a])break}return this.B.encrypt(this.h)},V:function(){this.c=this.F().concat(this.F());this.B=new sjcl.cipher.aes(this.c)},ea:function(a){this.c=
sjcl.hash.sha256.hash(this.c.concat(a));this.B=new sjcl.cipher.aes(this.c);for(a=0;a<4;a++){this.h[a]=this.h[a]+1|0;if(this.h[a])break}},fa:function(a){var b=[],c=0,d;this.Z=b[0]=(new Date).valueOf()+3E4;for(d=0;d<16;d++)b.push(Math.random()*0x100000000|0);for(d=0;d<this.f.length;d++){b=b.concat(this.f[d].finalize());c+=this.o[d];this.o[d]=0;if(!a&&this.J&1<<d)break}if(this.J>=1<<this.f.length){this.f.push(new sjcl.hash.sha256);this.o.push(0)}this.k-=c;if(c>this.l)this.l=c;this.J++;this.ea(b)},u:function(a){sjcl.random.addEntropy([a.x||
a.clientX||a.offsetX,a.y||a.clientY||a.offsetY],2,"mouse")},t:function(){sjcl.random.addEntropy(new Date,2,"loadtime")},U:function(a,b){var c;a=sjcl.random.A[a];var d=[];for(c in a)a.hasOwnProperty(c)&&d.push(a[c]);for(c=0;c<d.length;c++)d[c](b)}};
sjcl.json={defaults:{v:1,iter:1E3,ks:128,ts:64,mode:"ccm",adata:"",cipher:"aes"},encrypt:function(a,b,c,d){c=c||{};d=d||{};var e=sjcl.json,f=e.g({iv:sjcl.random.randomWords(4,0)},e.defaults);e.g(f,c);if(typeof f.salt==="string")f.salt=sjcl.codec.base64.toBits(f.salt);if(typeof f.iv==="string")f.iv=sjcl.codec.base64.toBits(f.iv);if(!sjcl.mode[f.mode]||!sjcl.cipher[f.cipher]||typeof a==="string"&&f.iter<=100||f.ts!==64&&f.ts!==96&&f.ts!==128||f.ks!==128&&f.ks!==192&&f.ks!==0x100||f.iv.length<2||f.iv.length>
4)throw new sjcl.exception.invalid("json encrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,f);a=c.key.slice(0,f.ks/32);f.salt=c.salt}if(typeof b==="string")b=sjcl.codec.utf8String.toBits(b);c=new sjcl.cipher[f.cipher](a);e.g(d,f);d.key=a;f.ct=sjcl.mode[f.mode].encrypt(c,b,f.iv,f.adata,f.tag);return e.encode(f)},decrypt:function(a,b,c,d){c=c||{};d=d||{};var e=sjcl.json;b=e.g(e.g(e.g({},e.defaults),e.decode(b)),c,true);if(typeof b.salt==="string")b.salt=sjcl.codec.base64.toBits(b.salt);
if(typeof b.iv==="string")b.iv=sjcl.codec.base64.toBits(b.iv);if(!sjcl.mode[b.mode]||!sjcl.cipher[b.cipher]||typeof a==="string"&&b.iter<=100||b.ts!==64&&b.ts!==96&&b.ts!==128||b.ks!==128&&b.ks!==192&&b.ks!==0x100||!b.iv||b.iv.length<2||b.iv.length>4)throw new sjcl.exception.invalid("json decrypt: invalid parameters");if(typeof a==="string"){c=sjcl.misc.cachedPbkdf2(a,b);a=c.key.slice(0,b.ks/32);b.salt=c.salt}c=new sjcl.cipher[b.cipher](a);c=sjcl.mode[b.mode].decrypt(c,b.ct,b.iv,b.adata,b.tag);e.g(d,
@ -55,7 +55,7 @@ function(){var g=this.limbs,h=g.length-1,i,j;this.reduce();if(h===this.modOffset
return this};d.inverse=function(){return this.power(this.modulus.sub(2))};c.fromBits=sjcl.bn.fromBits;return c};
sjcl.bn.prime={p127:sjcl.bn.pseudoMersennePrime(127,[[0,-1]]),p25519:sjcl.bn.pseudoMersennePrime(255,[[0,-19]]),p192:sjcl.bn.pseudoMersennePrime(192,[[0,-1],[64,-1]]),p224:sjcl.bn.pseudoMersennePrime(224,[[0,1],[96,-1]]),p256:sjcl.bn.pseudoMersennePrime(0x100,[[0,-1],[96,1],[192,1],[224,-1]]),p384:sjcl.bn.pseudoMersennePrime(384,[[0,-1],[32,1],[96,-1],[128,-1]]),p521:sjcl.bn.pseudoMersennePrime(521,[[0,-1]])};
sjcl.bn.random=function(a,b){if(typeof a!=="object")a=new sjcl.bn(a);for(var c,d,e=a.limbs.length,f=a.limbs[e-1]+1,g=new sjcl.bn;;){do{c=sjcl.random.randomWords(e,b);if(c[e-1]<0)c[e-1]+=0x100000000}while(Math.floor(c[e-1]/f)===Math.floor(0x100000000/f));c[e-1]%=f;for(d=0;d<e-1;d++)c[d]&=a.radixMask;g.limbs=c;if(!g.greaterEquals(a))return g}};sjcl.ecc={};sjcl.ecc.point=function(a,b,c){if(b===undefined)this.isIdentity=true;else{this.x=b;this.y=c;this.isIdentity=false}this.curve=a};
sjcl.ecc.point.prototype={toJac:function(){return new sjcl.ecc.pointJac(this.curve,this.x,this.y,new this.curve.field(1))},mult:function(a){return this.toJac().mult(a,this).toAffine()},mult2:function(a,b,c){return this.toJac().mult2(a,this,b,c).toAffine()},multiples:function(){var a,b,c;if(this.X===undefined){c=this.toJac().doubl();a=this.X=[new sjcl.ecc.point(this.curve),this,c.toAffine()];for(b=3;b<16;b++){c=c.add(this);a.push(c.toAffine())}}return this.X},isValid:function(){return this.y.square().equals(this.curve.b.add(this.x.mul(this.curve.a.add(this.x.square()))))},
sjcl.ecc.point.prototype={toJac:function(){return new sjcl.ecc.pointJac(this.curve,this.x,this.y,new this.curve.field(1))},mult:function(a){return this.toJac().mult(a,this).toAffine()},mult2:function(a,b,c){return this.toJac().mult2(a,this,b,c).toAffine()},multiples:function(){var a,b,c;if(this.Y===undefined){c=this.toJac().doubl();a=this.Y=[new sjcl.ecc.point(this.curve),this,c.toAffine()];for(b=3;b<16;b++){c=c.add(this);a.push(c.toAffine())}}return this.Y},isValid:function(){return this.y.square().equals(this.curve.b.add(this.x.mul(this.curve.a.add(this.x.square()))))},
toBits:function(){return sjcl.bitArray.concat(this.x.toBits(),this.y.toBits())}};sjcl.ecc.pointJac=function(a,b,c,d){if(b===undefined)this.isIdentity=true;else{this.x=b;this.y=c;this.z=d;this.isIdentity=false}this.curve=a};
sjcl.ecc.pointJac.prototype={add:function(a){var b,c,d,e;if(this.curve!==a.curve)throw"sjcl['ecc']['add'](): Points must be on the same curve to add them!";if(this.isIdentity)return a.toJac();else if(a.isIdentity)return this;b=this.z.square();c=a.x.mul(b).subM(this.x);if(c.equals(0))return this.y.equals(a.y.mul(b.mul(this.z)))?this.doubl():new sjcl.ecc.pointJac(this.curve);b=a.y.mul(b.mul(this.z)).subM(this.y);d=c.square();a=b.square();e=c.square().mul(c).addM(this.x.add(this.x).mul(d));a=a.subM(e);
b=this.x.mul(d).subM(a).mul(b);d=this.y.mul(c.square().mul(c));b=b.subM(d);c=this.z.mul(c);return new sjcl.ecc.pointJac(this.curve,a,b,c)},doubl:function(){if(this.isIdentity)return this;var a=this.y.square(),b=a.mul(this.x.mul(4)),c=a.square().mul(8);a=this.z.square();var d=this.x.sub(a).mul(3).mul(this.x.add(a));a=d.square().subM(b).subM(b);b=b.sub(a).mul(d).subM(c);c=this.y.add(this.y).mul(this.z);return new sjcl.ecc.pointJac(this.curve,a,b,c)},toAffine:function(){if(this.isIdentity||this.z.equals(0))return new sjcl.ecc.point(this.curve);
@ -65,7 +65,7 @@ sjcl.ecc.curve=function(a,b,c,d,e,f){this.field=a;this.r=a.prototype.modulus.sub
sjcl.ecc.curves={c192:new sjcl.ecc.curve(sjcl.bn.prime.p192,"0x662107c8eb94364e4b2dd7ce",-3,"0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1","0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012","0x07192b95ffc8da78631011ed6b24cdd573f977a11e794811"),c224:new sjcl.ecc.curve(sjcl.bn.prime.p224,"0xe95c1f470fc1ec22d6baa3a3d5c4",-3,"0xb4050a850c04b3abf54132565044b0b7d7bfd8ba270b39432355ffb4","0xb70e0cbd6bb4bf7f321390b94a03c1d356c21122343280d6115c1d21","0xbd376388b5f723fb4c22dfe6cd4375a05a07476444d5819985007e34"),
c256:new sjcl.ecc.curve(sjcl.bn.prime.p256,"0x4319055358e8617b0c46353d039cdaae",-3,"0x5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b","0x6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296","0x4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5"),c384:new sjcl.ecc.curve(sjcl.bn.prime.p384,"0x389cb27e0bc8d21fa7e5f24cb74f58851313e696333ad68c",-3,"0xb3312fa7e23ee7e4988e056be3f82d19181d9c6efe8141120314088f5013875ac656398d8a2ed19d2a85c8edd3ec2aef","0xaa87ca22be8b05378eb1c71ef320ad746e1d3b628ba79b9859f741e082542a385502f25dbf55296c3a545e3872760ab7",
"0x3617de4a96262c6f5d9e98bf9292dc29f8f41dbd289a147ce9da3113b5f0b8c00a60b1ce1d7e819d7a431d7c90ea0e5f")};
sjcl.ecc.Q=function(a){sjcl.ecc[a]={publicKey:function(b,c){this.e=b;this.Z=c instanceof Array?b.fromBits(c):c},secretKey:function(b,c){this.e=b;this.S=c},generateKeys:function(b,c){if(b===undefined)b=0x100;if(typeof b==="number"){b=sjcl.ecc.curves["c"+b];if(b===undefined)throw new sjcl.exception.invalid("no such curve");}c=sjcl.bn.random(b.r,c);var d=b.G.mult(c);return{pub:new sjcl.ecc[a].publicKey(b,d),sec:new sjcl.ecc[a].secretKey(b,c)}}}};sjcl.ecc.Q("elGamal");
sjcl.ecc.elGamal.publicKey.prototype={kem:function(a){a=sjcl.bn.random(this.e.r,a);var b=this.e.G.mult(a).toBits();return{key:sjcl.hash.sha256.hash(this.Z.mult(a).toBits()),tag:b}}};sjcl.ecc.elGamal.secretKey.prototype={unkem:function(a){return sjcl.hash.sha256.hash(this.e.fromBits(a).mult(this.S).toBits())}};sjcl.ecc.Q("ecdsa");
sjcl.ecc.ecdsa.secretKey.prototype={sign:function(a,b){var c=this.e.r,d=c.bitLength(),e=sjcl.bn.random(c.sub(1),b).add(1);b=this.e.G.mult(e).x.mod(c);a=sjcl.bn.fromBits(a).add(b.mul(this.S)).inverseMod(c).mul(e).mod(c);return sjcl.bitArray.concat(b.toBits(d),a.toBits(d))}};
sjcl.ecc.ecdsa.publicKey.prototype={verify:function(a,b){var c=sjcl.bitArray,d=this.e.r,e=d.bitLength(),f=sjcl.bn.fromBits(c.bitSlice(b,0,e));b=sjcl.bn.fromBits(c.bitSlice(b,e,2*e));a=sjcl.bn.fromBits(a).mul(b).mod(d);c=f.mul(b).mod(d);a=this.e.G.mult2(a,c,this.Z).x;if(f.equals(0)||b.equals(0)||f.greaterEquals(d)||b.greaterEquals(d)||!a.equals(f))throw new sjcl.exception.corrupt("signature didn't check out");return true}};
sjcl.ecc.S=function(a){sjcl.ecc[a]={publicKey:function(b,c){this.e=b;this.H=c instanceof Array?b.fromBits(c):c},secretKey:function(b,c){this.e=b;this.D=c},generateKeys:function(b,c){if(b===undefined)b=0x100;if(typeof b==="number"){b=sjcl.ecc.curves["c"+b];if(b===undefined)throw new sjcl.exception.invalid("no such curve");}c=sjcl.bn.random(b.r,c);var d=b.G.mult(c);return{pub:new sjcl.ecc[a].publicKey(b,d),sec:new sjcl.ecc[a].secretKey(b,c)}}}};sjcl.ecc.S("elGamal");
sjcl.ecc.elGamal.publicKey.prototype={kem:function(a){a=sjcl.bn.random(this.e.r,a);var b=this.e.G.mult(a).toBits();return{key:sjcl.hash.sha256.hash(this.H.mult(a).toBits()),tag:b}}};sjcl.ecc.elGamal.secretKey.prototype={unkem:function(a){return sjcl.hash.sha256.hash(this.e.fromBits(a).mult(this.D).toBits())},dh:function(a){return sjcl.hash.sha256.hash(a.H.mult(this.D).toBits())}};sjcl.ecc.S("ecdsa");
sjcl.ecc.ecdsa.secretKey.prototype={sign:function(a,b){var c=this.e.r,d=c.bitLength(),e=sjcl.bn.random(c.sub(1),b).add(1);b=this.e.G.mult(e).x.mod(c);a=sjcl.bn.fromBits(a).add(b.mul(this.D)).inverseMod(c).mul(e).mod(c);return sjcl.bitArray.concat(b.toBits(d),a.toBits(d))}};
sjcl.ecc.ecdsa.publicKey.prototype={verify:function(a,b){var c=sjcl.bitArray,d=this.e.r,e=d.bitLength(),f=sjcl.bn.fromBits(c.bitSlice(b,0,e));b=sjcl.bn.fromBits(c.bitSlice(b,e,2*e));a=sjcl.bn.fromBits(a).mul(b).mod(d);c=f.mul(b).mod(d);a=this.e.G.mult2(a,c,this.H).x;if(f.equals(0)||b.equals(0)||f.greaterEquals(d)||b.greaterEquals(d)||!a.equals(f))throw new sjcl.exception.corrupt("signature didn't check out");return true}};