简介
MD5(单向散列算法)的全称是Message-Digest Algorithm 5(信息-摘要算法),经MD2、MD3和MD4发展而来。MD5算法的使用不需要支付任何版权费用。
MD5功能
输入任意长度的信息,经过处理,输出为128位的信息(数字指纹); 不同的输入得到的不同的结果(唯一性); 根据128位的输出结果不可能反推出输入的信息(不可逆);
MD5属不属于加密算法
认为不属于的人是因为他们觉得不能从密文(散列值)反过来得到原文,即没有解密算法,所以这部分人认为MD5只能属于算法,不能称为加密算法; 认为属于的人是因为他们觉得经过MD5处理后看不到原文,即已经将原文加密,所以认为MD5属于加密算法;我个人支持后者。
MD5用途
-
防止被篡改
- 比如发送一个电子文档,发送前,我先得到MD5的输出结果a。然后在对方收到电子文档后,对方也得到一个MD5的输出结果b。如果a与b一样就代表中途未被篡改。
比如我提供文件下载,为了防止不法分子在安装程序中添加木马,我可以在网站上公布由安装文件得到的MD5输出结果。
SVN在检测文件是否在CheckOut后被修改过,也是用到了MD5.
防止直接看到明文
现在很多网站在数据库存储用户的密码的时候都是存储用户密码的MD5值。这样就算不法分子得
到数据库的用户密码的MD5值,也无法知道用户的密码(其实这样是不安全的,后面我会提到)。(比如在UNIX系统中用户的密码就是以MD5(或其它类似的算法)经加密后存储在文件系统中。当用户登录的时候,系统把用户输入的密码计算成MD5值,然后再去和保存在文件系统中的MD5值进行比较,进而确定输入的密码是否正确。通过这样的步骤,系统在并不知道用户密码的明码的情况下就可以确定用户登录系统的合法性。这不但可以避免用户的密码被具有系统管理员权限的用户知道,而且还在一定程度上增加了密码被破解的难度。)防止抵赖(数字签名)
这需要一个第三方认证机构。例如A写了一个文件,认证机构对此文件用MD5算法产生摘要信息并做好记录。若以后A说这文件不是他写的,权威机构只需对此文件重新产生摘要信息,然后跟记录在册的摘要信息进行比对,相同的话,就证明是A写的了。这就是所谓的“数字签名”。
MD5算法过程
对MD5算法简要的叙述可以为:MD5以512位分组来处理输入的信息,且每一分组又被划分为16个32位子分组,经过了一系列的处理后,算法的输出由四个32位分组组成,将这四个32位分组级联后将生成一个128位散列值。
- 填充
如果输入信息的长度(bit)对512求余的结果不等于448,就需要填充使得对512求余的结果等于448。填充的方法是填充一个1和n个0。填充完后,信息的长度就为N*512+448(bit); - 记录信息长度:用64位来存储填充前信息长度。这64位加在第一步结果的后面,这样信息长度就变为N512+448+64=(N+1)512位。 第
- 装入标准的幻数(四个整数):
标准的幻数(物理顺序)是
A=(01234567)16
B=(89ABCDEF)16
C=(FEDCBA98)16
D = (76543210)16
如果在程序中定义应该是
A=0X67452301L
B=0XEFCDAB89L
C=0X98BADCFEL
D=0X10325476L
- 四轮循环运算:循环的次数是分组的个数(N+1)
- 将每一512字节细分成16个小组,每个小组64位(8个字节)
- 先认识四个线性函数
(&是与,|是或,~是非,^是异或)
F(X,Y,Z)=(X&Y)|((~X)&Z)
G(X,Y,Z)=(X&Z)|(Y&(~Z))
H(X,Y,Z)=X^Y^Z
I(X,Y,Z)=Y^(X|(~Z))
- 设Mj表示消息的第j个子分组(从0到15),<<<s表示循环左移s位,则四种操作为:
FF(a,b,c,d,Mj,s,ti)
表示a=b+((a+F(b,c,d)+Mj+ti)<<<s)
GG(a,b,c,d,Mj,s,ti)表示
a=b+((a+G(b,c,d)+Mj+ti)<<<s)
HH(a,b,c,d,Mj,s,ti)
表示a=b+((a+H(b,c,d)+Mj+ti)<<<s)
II(a,b,c,d,Mj,s,ti)
表示a=b+((a+I(b,c,d)+Mj+ti)<<<s)
- 四轮运算
第一轮
a=FF(a,b,c,d,M0,7,0xd76aa478)
b=FF(d,a,b,c,M1,12,0xe8c7b756)
c=FF(c,d,a,b,M2,17,0x242070db)
d=FF(b,c,d,a,M3,22,0xc1bdceee)
a=FF(a,b,c,d,M4,7,0xf57c0faf)
b=FF(d,a,b,c,M5,12,0x4787c62a)
c=FF(c,d,a,b,M6,17,0xa8304613)
d=FF(b,c,d,a,M7,22,0xfd469501)
a=FF(a,b,c,d,M8,7,0x698098d8)
b=FF(d,a,b,c,M9,12,0x8b44f7af)
c=FF(c,d,a,b,M10,17,0xffff5bb1)
d=FF(b,c,d,a,M11,22,0x895cd7be)
a=FF(a,b,c,d,M12,7,0x6b901122)
b=FF(d,a,b,c,M13,12,0xfd987193)
c=FF(c,d,a,b,M14,17,0xa679438e)
d=FF(b,c,d,a,M15,22,0x49b40821)
**第二轮**
a=GG(a,b,c,d,M1,5,0xf61e2562)
b=GG(d,a,b,c,M6,9,0xc040b340)
c=GG(c,d,a,b,M11,14,0x265e5a51)
d=GG(b,c,d,a,M0,20,0xe9b6c7aa)
a=GG(a,b,c,d,M5,5,0xd62f105d)
b=GG(d,a,b,c,M10,9,0x02441453)
c=GG(c,d,a,b,M15,14,0xd8a1e681)
d=GG(b,c,d,a,M4,20,0xe7d3fbc8)
a=GG(a,b,c,d,M9,5,0x21e1cde6)
b=GG(d,a,b,c,M14,9,0xc33707d6)
c=GG(c,d,a,b,M3,14,0xf4d50d87)
d=GG(b,c,d,a,M8,20,0x455a14ed)
a=GG(a,b,c,d,M13,5,0xa9e3e905)
b=GG(d,a,b,c,M2,9,0xfcefa3f8)
c=GG(c,d,a,b,M7,14,0x676f02d9)
d=GG(b,c,d,a,M12,20,0x8d2a4c8a)
**第三轮**
a=HH(a,b,c,d,M5,4,0xfffa3942)
b=HH(d,a,b,c,M8,11,0x8771f681)
c=HH(c,d,a,b,M11,16,0x6d9d6122)
d=HH(b,c,d,a,M14,23,0xfde5380c)
a=HH(a,b,c,d,M1,4,0xa4beea44)
b=HH(d,a,b,c,M4,11,0x4bdecfa9)
c=HH(c,d,a,b,M7,16,0xf6bb4b60)
d=HH(b,c,d,a,M10,23,0xbebfbc70)
a=HH(a,b,c,d,M13,4,0x289b7ec6)
b=HH(d,a,b,c,M0,11,0xeaa127fa)
c=HH(c,d,a,b,M3,16,0xd4ef3085)
d=HH(b,c,d,a,M6,23,0x04881d05)
a=HH(a,b,c,d,M9,4,0xd9d4d039)
b=HH(d,a,b,c,M12,11,0xe6db99e5)
c=HH(c,d,a,b,M15,16,0x1fa27cf8)
d=HH(b,c,d,a,M2,23,0xc4ac5665)*
*第四轮**
a=II(a,b,c,d,M0,6,0xf4292244)
b=II(d,a,b,c,M7,10,0x432aff97)
c=II(c,d,a,b,M14,15,0xab9423a7)
d=II(b,c,d,a,M5,21,0xfc93a039)
a=II(a,b,c,d,M12,6,0x655b59c3)
b=II(d,a,b,c,M3,10,0x8f0ccc92)
c=II(c,d,a,b,M10,15,0xffeff47d)
d=II(b,c,d,a,M1,21,0x85845dd1)
a=II(a,b,c,d,M8,6,0x6fa87e4f)
b=II(d,a,b,c,M15,10,0xfe2ce6e0)
c=II(c,d,a,b,M6,15,0xa3014314)
d=II(b,c,d,a,M13,21,0x4e0811a1)
a=II(a,b,c,d,M4,6,0xf7537e82)
b=II(d,a,b,c,M11,10,0xbd3af235)
c=II(c,d,a,b,M2,15,0x2ad7d2bb)
d=II(b,c,d,a,M9,21,0xeb86d391)
每轮循环后,将A,B,C,D分别加上a,b,c,d,然后进入下一循环。
代码演示
/*
* A JavaScript implementation of the RSA Data Security, Inc. MD5 Message
* Digest Algorithm, as defined in RFC 1321.
* Version 2.1 Copyright (C) Paul Johnston 1999 - 2002.
* Other contributors: Greg Holt, Andrew Kepert, Ydnar, Lostinet
* Distributed under the BSD License
* See http://pajhome.org.uk/crypt/md5 for more info.
*/
/*
* Configurable variables. You may need to tweak these to be compatible with
* the server-side, but the defaults work in most cases.
*/
var hexcase = 1; /* hex output format. 0 - lowercase; 1 - uppercase */
var b64pad = ""; /* base-64 pad character. "=" for strict RFC compliance */
var chrsz = 8; /* bits per input character. 8 - ASCII; 16 - Unicode */
/*
* These are the functions you'll usually want to call
* They take string arguments and return either hex or base-64 encoded strings
*/
function hex_md5(s){ return binl2hex(core_md5(str2binl(s), s.length * chrsz));}
function str_md5(s){ return binl2str(core_md5(str2binl(s), s.length * chrsz));}
function hex_hmac_md5(key, data) { return binl2hex(core_hmac_md5(key, data)); }
function str_hmac_md5(key, data) { return binl2str(core_hmac_md5(key, data)); }
/*
* Calculate the MD5 of an array of little-endian words, and a bit length
*/
function core_md5(x, len)
{
/* append padding */
x[len >> 5] |= 0x80 << ((len) % 32);
x[(((len + 64) >>> 9) << 4) + 14] = len;
var a = 1732584193;
var b = -271733879;
var c = -1732584194;
var d = 271733878;
for(var i = 0; i < x.length; i += 16)
{
var olda = a;
var oldb = b;
var oldc = c;
var oldd = d;
a = md5_ff(a, b, c, d, x[i+ 0], 7 , -680876936);
d = md5_ff(d, a, b, c, x[i+ 1], 12, -389564586);
c = md5_ff(c, d, a, b, x[i+ 2], 17, 606105819);
b = md5_ff(b, c, d, a, x[i+ 3], 22, -1044525330);
a = md5_ff(a, b, c, d, x[i+ 4], 7 , -176418897);
d = md5_ff(d, a, b, c, x[i+ 5], 12, 1200080426);
c = md5_ff(c, d, a, b, x[i+ 6], 17, -1473231341);
b = md5_ff(b, c, d, a, x[i+ 7], 22, -45705983);
a = md5_ff(a, b, c, d, x[i+ 8], 7 , 1770035416);
d = md5_ff(d, a, b, c, x[i+ 9], 12, -1958414417);
c = md5_ff(c, d, a, b, x[i+10], 17, -42063);
b = md5_ff(b, c, d, a, x[i+11], 22, -1990404162);
a = md5_ff(a, b, c, d, x[i+12], 7 , 1804603682);
d = md5_ff(d, a, b, c, x[i+13], 12, -40341101);
c = md5_ff(c, d, a, b, x[i+14], 17, -1502002290);
b = md5_ff(b, c, d, a, x[i+15], 22, 1236535329);
a = md5_gg(a, b, c, d, x[i+ 1], 5 , -165796510);
d = md5_gg(d, a, b, c, x[i+ 6], 9 , -1069501632);
c = md5_gg(c, d, a, b, x[i+11], 14, 643717713);
b = md5_gg(b, c, d, a, x[i+ 0], 20, -373897302);
a = md5_gg(a, b, c, d, x[i+ 5], 5 , -701558691);
d = md5_gg(d, a, b, c, x[i+10], 9 , 38016083);
c = md5_gg(c, d, a, b, x[i+15], 14, -660478335);
b = md5_gg(b, c, d, a, x[i+ 4], 20, -405537848);
a = md5_gg(a, b, c, d, x[i+ 9], 5 , 568446438);
d = md5_gg(d, a, b, c, x[i+14], 9 , -1019803690);
c = md5_gg(c, d, a, b, x[i+ 3], 14, -187363961);
b = md5_gg(b, c, d, a, x[i+ 8], 20, 1163531501);
a = md5_gg(a, b, c, d, x[i+13], 5 , -1444681467);
d = md5_gg(d, a, b, c, x[i+ 2], 9 , -51403784);
c = md5_gg(c, d, a, b, x[i+ 7], 14, 1735328473);
b = md5_gg(b, c, d, a, x[i+12], 20, -1926607734);
a = md5_hh(a, b, c, d, x[i+ 5], 4 , -378558);
d = md5_hh(d, a, b, c, x[i+ 8], 11, -2022574463);
c = md5_hh(c, d, a, b, x[i+11], 16, 1839030562);
b = md5_hh(b, c, d, a, x[i+14], 23, -35309556);
a = md5_hh(a, b, c, d, x[i+ 1], 4 , -1530992060);
d = md5_hh(d, a, b, c, x[i+ 4], 11, 1272893353);
c = md5_hh(c, d, a, b, x[i+ 7], 16, -155497632);
b = md5_hh(b, c, d, a, x[i+10], 23, -1094730640);
a = md5_hh(a, b, c, d, x[i+13], 4 , 681279174);
d = md5_hh(d, a, b, c, x[i+ 0], 11, -358537222);
c = md5_hh(c, d, a, b, x[i+ 3], 16, -722521979);
b = md5_hh(b, c, d, a, x[i+ 6], 23, 76029189);
a = md5_hh(a, b, c, d, x[i+ 9], 4 , -640364487);
d = md5_hh(d, a, b, c, x[i+12], 11, -421815835);
c = md5_hh(c, d, a, b, x[i+15], 16, 530742520);
b = md5_hh(b, c, d, a, x[i+ 2], 23, -995338651);
a = md5_ii(a, b, c, d, x[i+ 0], 6 , -198630844);
d = md5_ii(d, a, b, c, x[i+ 7], 10, 1126891415);
c = md5_ii(c, d, a, b, x[i+14], 15, -1416354905);
b = md5_ii(b, c, d, a, x[i+ 5], 21, -57434055);
a = md5_ii(a, b, c, d, x[i+12], 6 , 1700485571);
d = md5_ii(d, a, b, c, x[i+ 3], 10, -1894986606);
c = md5_ii(c, d, a, b, x[i+10], 15, -1051523);
b = md5_ii(b, c, d, a, x[i+ 1], 21, -2054922799);
a = md5_ii(a, b, c, d, x[i+ 8], 6 , 1873313359);
d = md5_ii(d, a, b, c, x[i+15], 10, -30611744);
c = md5_ii(c, d, a, b, x[i+ 6], 15, -1560198380);
b = md5_ii(b, c, d, a, x[i+13], 21, 1309151649);
a = md5_ii(a, b, c, d, x[i+ 4], 6 , -145523070);
d = md5_ii(d, a, b, c, x[i+11], 10, -1120210379);
c = md5_ii(c, d, a, b, x[i+ 2], 15, 718787259);
b = md5_ii(b, c, d, a, x[i+ 9], 21, -343485551);
a = safe_add(a, olda);
b = safe_add(b, oldb);
c = safe_add(c, oldc);
d = safe_add(d, oldd);
}
return Array(a, b, c, d);
}
/*
* These functions implement the four basic operations the algorithm uses.
*/
function md5_cmn(q, a, b, x, s, t)
{
return safe_add(bit_rol(safe_add(safe_add(a, q), safe_add(x, t)), s),b);
}
function md5_ff(a, b, c, d, x, s, t)
{
return md5_cmn((b & c) | ((~b) & d), a, b, x, s, t);
}
function md5_gg(a, b, c, d, x, s, t)
{
return md5_cmn((b & d) | (c & (~d)), a, b, x, s, t);
}
function md5_hh(a, b, c, d, x, s, t)
{
return md5_cmn(b ^ c ^ d, a, b, x, s, t);
}
function md5_ii(a, b, c, d, x, s, t)
{
return md5_cmn(c ^ (b | (~d)), a, b, x, s, t);
}
/*
* Calculate the HMAC-MD5, of a key and some data
*/
function core_hmac_md5(key, data)
{
var bkey = str2binl(key);
if(bkey.length > 16) bkey = core_md5(bkey, key.length * chrsz);
var ipad = Array(16), opad = Array(16);
for(var i = 0; i < 16; i++)
{
ipad[i] = bkey[i] ^ 0x36363636;
opad[i] = bkey[i] ^ 0x5C5C5C5C;
}
var hash = core_md5(ipad.concat(str2binl(data)), 512 + data.length * chrsz);
return core_md5(opad.concat(hash), 512 + 128);
}
/*
* Add integers, wrapping at 2^32. This uses 16-bit operations internally
* to work around bugs in some JS interpreters.
*/
function safe_add(x, y)
{
var lsw = (x & 0xFFFF) + (y & 0xFFFF);
var msw = (x >> 16) + (y >> 16) + (lsw >> 16);
return (msw << 16) | (lsw & 0xFFFF);
}
/*
* Bitwise rotate a 32-bit number to the left.
*/
function bit_rol(num, cnt)
{
return (num << cnt) | (num >>> (32 - cnt));
}
/*
* Convert a string to an array of little-endian words
* If chrsz is ASCII, characters >255 have their hi-byte silently ignored.
*/
function str2binl(str)
{
var bin = Array();
var mask = (1 << chrsz) - 1;
for(var i = 0; i < str.length * chrsz; i += chrsz)
bin[i>>5] |= (str.charCodeAt(i / chrsz) & mask) << (i%32);
return bin;
}
/*
* Convert an array of little-endian words to a string
*/
function binl2str(bin)
{
var str = "";
var mask = (1 << chrsz) - 1;
for(var i = 0; i < bin.length * 32; i += chrsz)
str += String.fromCharCode((bin[i>>5] >>> (i % 32)) & mask);
return str;
}
/*
* Convert an array of little-endian words to a hex string.
*/
function binl2hex(binarray)
{
var hex_tab = hexcase ? "0123456789ABCDEF" : "0123456789abcdef";
var str = "";
for(var i = 0; i < binarray.length * 4; i++)
{
str += hex_tab.charAt((binarray[i>>2] >> ((i%4)*8+4)) & 0xF) +
hex_tab.charAt((binarray[i>>2] >> ((i%4)*8 )) & 0xF);
}
return str;
}
String.prototype.trim = function(){return this.replace(/(^s*)|(s*$)/g, "");}
function md5(text) {
return hex_md5(text.trim());
}