SHA-512摘要算法（带示例）

本文主要是介绍SHA-512摘要算法（带示例），希望对大家解决编程问题提供一定的参考价值，需要的开发者们随着小编来一起学习吧！

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1.算法简介

2.符号

3.加密算法流程

3.1 概述

3.2 填充

3.3 加密处理

附录A 运算示例

附录B 下载链接

1.算法简介

SHA英文全称Secure Hash Algorithm，即安全散列算法。散列算法又称杂凑算法或哈希算法，能将一定长度的消息计算出固定长度的字符串（又称消息摘要）。SHA包含5个算法，分别是SHA-1、SHA-224、SHA-256、SHA-384和SHA-512，后四者并称为SHA-2。

SHA-384最大计算明文长度为2^128bit，属于分组算法，分组长度为1024bit，产生的信息摘要长度为384bit。SHA-384算法属于密码杂凑算法，原则上不能通过密文推出明文。

本文将通过实例，详细介绍SHA-256加密算法的加密流程。

2.符号

下列符号适用于本文本。

h0~h7：8个64bit双字，初始哈希值，也存放每组计算的当前哈希值

abcdefgh：8个64bit双字，存放中间变量

m：消息

m'：填充后的消息

mod：模运算

s0，s1：字节扩展时中间变量

S0，S1，ch，maj，temp1，temp2：循环迭代时中间变量

w[i]：第i个扩展双字

∧：64bit与运算

∨：64bit或运算

⊕：异或运算

>>>k：循环右移k比特运算

>>k：右移k比特运算

←：左向赋值运算符

~：64bit双字按位取反

3.加密算法流程

3.1 概述

对长度为l (l<2^128bit )比特的消息，SHA-384杂凑算法经过填充和迭代压缩，生成杂凑值，杂凑值长度为384比特。

3.2 填充

假设消息m 的长度为 l比特。首先将比特“1”添加到消息的末尾，再添加 k个“0”，k 是满足l+1+k=896mod1024 的最小的非负整数。然后再添加一个128位比特串，该比特串是长度l 的二进制表示。填充后的消息 m'的比特长度为1024的倍数。

例如：对消息01100001 01100010 01100011，其长度 =24，经填充得到比特串：

事实上，在编写程序时，应该先进行分组，对满足1024bit的分组先进行计算。当分到最后一组不足1024bit时，再进行填充。

3.3 加密处理

将填充后的消息m' 按1024比特进行分组：m'=B0B1……Bn-1，其中n=(l+k+129)/1024 。

3.3.1 常量及初始值

初始哈希值：

h0=0xcbbb9d5dc1059ed8,

h1=0x629a292a367cd507,

h2=0x9159015a3070dd17,

h3=0x152fecd8f70e5939,

h4=0x67332667ffc00b31,

h5=0x8eb44a8768581511,

h6=0xdb0c2e0d64f98fa7,

h7=0x47b5481dbefa4fa4

初始常量矩阵（十六进制）：

k[0..79]=

0x428a2f98d728ae22, 0x7137449123ef65cd, 0xb5c0fbcfec4d3b2f, 0xe9b5dba58189dbbc, 0x3956c25bf348b538,

0x59f111f1b605d019, 0x923f82a4af194f9b, 0xab1c5ed5da6d8118, 0xd807aa98a3030242, 0x12835b0145706fbe,

0x243185be4ee4b28c, 0x550c7dc3d5ffb4e2, 0x72be5d74f27b896f, 0x80deb1fe3b1696b1, 0x9bdc06a725c71235,

0xc19bf174cf692694, 0xe49b69c19ef14ad2, 0xefbe4786384f25e3, 0x0fc19dc68b8cd5b5, 0x240ca1cc77ac9c65,

0x2de92c6f592b0275, 0x4a7484aa6ea6e483, 0x5cb0a9dcbd41fbd4, 0x76f988da831153b5, 0x983e5152ee66dfab,

0xa831c66d2db43210, 0xb00327c898fb213f, 0xbf597fc7beef0ee4, 0xc6e00bf33da88fc2, 0xd5a79147930aa725,

0x06ca6351e003826f, 0x142929670a0e6e70, 0x27b70a8546d22ffc, 0x2e1b21385c26c926, 0x4d2c6dfc5ac42aed,

0x53380d139d95b3df, 0x650a73548baf63de, 0x766a0abb3c77b2a8, 0x81c2c92e47edaee6, 0x92722c851482353b,

0xa2bfe8a14cf10364, 0xa81a664bbc423001, 0xc24b8b70d0f89791, 0xc76c51a30654be30, 0xd192e819d6ef5218,

0xd69906245565a910, 0xf40e35855771202a, 0x106aa07032bbd1b8, 0x19a4c116b8d2d0c8, 0x1e376c085141ab53,

0x2748774cdf8eeb99, 0x34b0bcb5e19b48a8, 0x391c0cb3c5c95a63, 0x4ed8aa4ae3418acb, 0x5b9cca4f7763e373,

0x682e6ff3d6b2b8a3, 0x748f82ee5defb2fc, 0x78a5636f43172f60, 0x84c87814a1f0ab72, 0x8cc702081a6439ec,

0x90befffa23631e28, 0xa4506cebde82bde9, 0xbef9a3f7b2c67915, 0xc67178f2e372532b, 0xca273eceea26619c,

0xd186b8c721c0c207, 0xeada7dd6cde0eb1e, 0xf57d4f7fee6ed178, 0x06f067aa72176fba, 0x0a637dc5a2c898a6,

0x113f9804bef90dae, 0x1b710b35131c471b, 0x28db77f523047d84, 0x32caab7b40c72493, 0x3c9ebe0a15c9bebc,

0x431d67c49c100d4c, 0x4cc5d4becb3e42b6, 0x597f299cfc657e2a, 0x5fcb6fab3ad6faec, 0x6c44198c4a475817

3.3.2 加密流程

每组数据按照如下流程进行加密操作：

1）分组数据按照64bit双字存放在w[0]~w[15]中，然后按照如下规则扩展成80个双字。注意 s0， s1 最后是右移，不是循环右移。

FOR i from 16 to 79

s0= (w[i-15] ) >>> 1)⊕(w[i-15] >>> 8)⊕(w[i-15] >> 7)

s1= (w[i-2] >>> 19)⊕(w[i-2] >>> 61)⊕(w[i-2] >> 6)

w[i]= w[i-16] + s0 + w[i-7] + s1

ENDFOR

2）赋值初始哈希值

a= h0

b= h1

c= h2

d= h3

e= h4

f= h5

g= h6

h= h7

3）迭代计算80次

FOR i from 0 to 79

S1= (e >>> 14) ⊕ (e >>> 18) ⊕ (e >>> 41)

ch= (e∧ f) ⊕ ((~ e) ∧ g)

temp1= h + S1 + ch + k[i] + w[i]

S0= (a >>> 28) ⊕ (a >>> 34) ⊕ (a >>> 39)

maj= (a∧b) ⊕ (a∧c)⊕(b∧c)

temp2= S0 + maj

h= g

g= f

f= e

e= d + temp1

d= c

c= b

b= a

a= temp1 + temp2

ENDFOR

4）获取当前哈希值

h0= h0 + a

h1= h1 + b

h2= h2 + c

h3= h3 + d

h4= h4 + e

h5= h5 + f

h6= h6 + g

h7= h7 + h

注意前一组得到的哈希值h0~h7作为下一分组的初始值，最终得到的h0~h5就是384bit杂凑值。

附录A 运算示例

原始输入消息：

abc

填充后消息：

0x61 0x62 0x63 0x80 0x00 0x00 0x00 0x00

0x00 0x00 0x00 0x00 0x00 0x00 0x00 0x00

0x00 0x00 0x00 0x00 0x00 0x00 0x00 0x18

80个扩展双字（十六进制）

w[0]~w[3]：	6162638000000000	0000000000000000	0000000000000000	0000000000000000
w[4]~w[7]：	0000000000000000	0000000000000000	0000000000000000	0000000000000000
w[8]~w[11]：	0000000000000000	0000000000000000	0000000000000000	0000000000000000
w[12]~w[15]：	0000000000000000	0000000000000000	0000000000000000	0000000000000018
w[16]~w[19]：	6162638000000000	00030000000000c0	0a9699a24c700003	00000c0060000603
w[20]~w[23]：	549ef62639858996	00c0003300003c00	1497007a8a0e9dbc	62e56500cc0780f0
w[24]~w[27]：	7760dd475a538797	f1554b711c1c0003	ca2993a4345d9ff2	5e0e66b5c783dd32
w[28]~w[31]：	e25a625d00494b62	9f44486fb1e4fbd2	b31b8c2b06085f2f	0e987660934142f6
w[32]~w[35]：	a4af2cfd09fbb924	ad289e2e0bd53186	3c74563aa2f9673e	6ccdcd14cc14b53f
w[36]~w[39]：	c3f925b337f22bde	5bcc77a75ad95b54	3ec2257adca09a52	28246960001fc5eb
w[40]~w[43]：	04e33a75ce2be88a	7d5314b3c359e0e7	aef7a285ff251266	0b8472581deea04f
w[44]~w[47]：	b174e26eddc7b033	5d63bae58ddd88de	4c044007b744ccbb	e6a9aa4d74dc7d43
w[48]~w[51]：	ebeaf1237248019c	361e80b2d00f3193	2e9839125df3b175	3319629293ad5363
w[52]~w[55]：	9cbc5d89ac1b89d5	275e23ffeeca50b7	3b80d680bf69ef58	0d0696933945a125
w[56]~w[59]：	7533eabcb786ff00	b89826cee6fbf0e5	249b4fbcad623e9f	4aea9df2b02d6f1e
w[60]~w[63]：	2cc57475a55e8d8f	b2574ae938d8be89	c1b35a57b16d6aea	cc4918b5949206bb
w[64]~w[67]：	5099c3add79f90ec	5ea81d78e7660bf1	ebee6267405ac2a9	b01f21926108a4ab
w[68]~w[71]：	786433dd2fe65556	c54a6eaa24a0552c	b3c8f1530bdbaa9e	bb8abfe56f469338
w[72]~w[75]：	f63d4265cc1c5a78	be8355ea73129afb	49e2db8ebdcfbeb5	82269d4a883a3d99
w[76]~w[79]：	fdf53df3011f362b	464af5671d71c12e	e449b68198ec611c	92aeeed1a7bcf7d2

64轮迭代（十六进制表示）：

轮	a	b	c	d	e	f	g	h
0	6a09e667f3bcc908	bb67ae8584caa73b	3c6ef372fe94f82b	a54ff53a5f1d36f1	510e527fade682d1	9b05688c2b3e6c1f	1f83d9abfb41bd6b	5be0cd19137e2179
1	f6afceb8bcfcddf5	6a09e667f3bcc908	bb67ae8584caa73b	3c6ef372fe94f82b	58cb02347ab51f91	510e527fade682d1	9b05688c2b3e6c1f	1f83d9abfb41bd6b
2	1320f8c9fb872cc0	f6afceb8bcfcddf5	6a09e667f3bcc908	bb67ae8584caa73b	c3d4ebfd48650ffa	58cb02347ab51f91	510e527fade682d1	9b05688c2b3e6c1f
3	ebcffc07203d91f3	1320f8c9fb872cc0	f6afceb8bcfcddf5	6a09e667f3bcc908	dfa9b239f2697812	c3d4ebfd48650ffa	58cb02347ab51f91	510e527fade682d1
4	5a83cb3e80050e82	ebcffc07203d91f3	1320f8c9fb872cc0	f6afceb8bcfcddf5	0b47b4bb1928990e	dfa9b239f2697812	c3d4ebfd48650ffa	58cb02347ab51f91
5	b680953951604860	5a83cb3e80050e82	ebcffc07203d91f3	1320f8c9fb872cc0	745aca4a342ed2e2	0b47b4bb1928990e	dfa9b239f2697812	c3d4ebfd48650ffa
6	af573b02403e89cd	b680953951604860	5a83cb3e80050e82	ebcffc07203d91f3	96f60209b6dc35ba	745aca4a342ed2e2	0b47b4bb1928990e	dfa9b239f2697812
7	c4875b0c7abc076b	af573b02403e89cd	b680953951604860	5a83cb3e80050e82	5a6c781f54dcc00c	96f60209b6dc35ba	745aca4a342ed2e2	0b47b4bb1928990e
8	8093d195e0054fa3	c4875b0c7abc076b	af573b02403e89cd	b680953951604860	86f67263a0f0ec0a	5a6c781f54dcc00c	96f60209b6dc35ba	745aca4a342ed2e2
9	f1eca5544cb89225	8093d195e0054fa3	c4875b0c7abc076b	af573b02403e89cd	d0403c398fc40002	86f67263a0f0ec0a	5a6c781f54dcc00c	96f60209b6dc35ba
10	81782d4a5db48f03	f1eca5544cb89225	8093d195e0054fa3	c4875b0c7abc076b	00091f460be46c52	d0403c398fc40002	86f67263a0f0ec0a	5a6c781f54dcc00c
11	69854c4aa0f25b59	81782d4a5db48f03	f1eca5544cb89225	8093d195e0054fa3	d375471bde1ba3f4	00091f460be46c52	d0403c398fc40002	86f67263a0f0ec0a
12	db0a9963f80c2eaa	69854c4aa0f25b59	81782d4a5db48f03	f1eca5544cb89225	475975b91a7a462c	d375471bde1ba3f4	00091f460be46c52	d0403c398fc40002
13	5e41214388186c14	db0a9963f80c2eaa	69854c4aa0f25b59	81782d4a5db48f03	cdf3bff2883fc9d9	475975b91a7a462c	d375471bde1ba3f4	00091f460be46c52
14	44249631255d2ca0	5e41214388186c14	db0a9963f80c2eaa	69854c4aa0f25b59	860acf9effba6f61	cdf3bff2883fc9d9	475975b91a7a462c	d375471bde1ba3f4
15	fa967eed85a08028	44249631255d2ca0	5e41214388186c14	db0a9963f80c2eaa	874bfe5f6aae9f2f	860acf9effba6f61	cdf3bff2883fc9d9	475975b91a7a462c
16	0ae07c86b1181c75	fa967eed85a08028	44249631255d2ca0	5e41214388186c14	a77b7c035dd4c161	874bfe5f6aae9f2f	860acf9effba6f61	cdf3bff2883fc9d9
17	caf81a425d800537	0ae07c86b1181c75	fa967eed85a08028	44249631255d2ca0	2deecc6b39d64d78	a77b7c035dd4c161	874bfe5f6aae9f2f	860acf9effba6f61
18	4725be249ad19e6b	caf81a425d800537	0ae07c86b1181c75	fa967eed85a08028	f47e8353f8047455	2deecc6b39d64d78	a77b7c035dd4c161	874bfe5f6aae9f2f
19	3c4b4104168e3edb	4725be249ad19e6b	caf81a425d800537	0ae07c86b1181c75	29695fd88d81dbd0	f47e8353f8047455	2deecc6b39d64d78	a77b7c035dd4c161
20	9a3fb4d38ab6cf06	3c4b4104168e3edb	4725be249ad19e6b	caf81a425d800537	f14998dd5f70767e	29695fd88d81dbd0	f47e8353f8047455	2deecc6b39d64d78
21	8dc5ae65569d3855	9a3fb4d38ab6cf06	3c4b4104168e3edb	4725be249ad19e6b	4bb9e66d1145bfdc	f14998dd5f70767e	29695fd88d81dbd0	f47e8353f8047455
22	da34d6673d452dcf	8dc5ae65569d3855	9a3fb4d38ab6cf06	3c4b4104168e3edb	8e30ff09ad488753	4bb9e66d1145bfdc	f14998dd5f70767e	29695fd88d81dbd0
23	3e2644567b709a78	da34d6673d452dcf	8dc5ae65569d3855	9a3fb4d38ab6cf06	0ac2b11da8f571c6	8e30ff09ad488753	4bb9e66d1145bfdc	f14998dd5f70767e
24	4f6877b58fe55484	3e2644567b709a78	da34d6673d452dcf	8dc5ae65569d3855	c66005f87db55233	0ac2b11da8f571c6	8e30ff09ad488753	4bb9e66d1145bfdc
25	9aff71163fa3a940	4f6877b58fe55484	3e2644567b709a78	da34d6673d452dcf	d3ecf13769180e6f	c66005f87db55233	0ac2b11da8f571c6	8e30ff09ad488753
26	0bc5f791f8e6816b	9aff71163fa3a940	4f6877b58fe55484	3e2644567b709a78	6ddf1fd7edcce336	d3ecf13769180e6f	c66005f87db55233	0ac2b11da8f571c6
27	884c3bc27bc4f941	0bc5f791f8e6816b	9aff71163fa3a940	4f6877b58fe55484	e6e48c9a8e948365	6ddf1fd7edcce336	d3ecf13769180e6f	c66005f87db55233
28	eab4a9e5771b8d09	884c3bc27bc4f941	0bc5f791f8e6816b	9aff71163fa3a940	09068a4e255a0dac	e6e48c9a8e948365	6ddf1fd7edcce336	d3ecf13769180e6f
29	e62349090f47d30a	eab4a9e5771b8d09	884c3bc27bc4f941	0bc5f791f8e6816b	0fcdf99710f21584	09068a4e255a0dac	e6e48c9a8e948365	6ddf1fd7edcce336
30	74bf40f869094c63	e62349090f47d30a	eab4a9e5771b8d09	884c3bc27bc4f941	f0aec2fe1437f085	0fcdf99710f21584	09068a4e255a0dac	e6e48c9a8e948365
31	4c4fbbb75f1873a6	74bf40f869094c63	e62349090f47d30a	eab4a9e5771b8d09	73e025d91b9efea3	f0aec2fe1437f085	0fcdf99710f21584	09068a4e255a0dac
32	ff4d3f1f0d46a736	4c4fbbb75f1873a6	74bf40f869094c63	e62349090f47d30a	3cd388e119e8162e	73e025d91b9efea3	f0aec2fe1437f085	0fcdf99710f21584
33	a0509015ca08c8d4	ff4d3f1f0d46a736	4c4fbbb75f1873a6	74bf40f869094c63	e1034573654a106f	3cd388e119e8162e	73e025d91b9efea3	f0aec2fe1437f085
34	60d4e6995ed91fe6	a0509015ca08c8d4	ff4d3f1f0d46a736	4c4fbbb75f1873a6	efabbd8bf47c041a	e1034573654a106f	3cd388e119e8162e	73e025d91b9efea3
35	2c59ec7743632621	60d4e6995ed91fe6	a0509015ca08c8d4	ff4d3f1f0d46a736	0fbae670fa780fd3	efabbd8bf47c041a	e1034573654a106f	3cd388e119e8162e
36	1a081afc59fdbc2c	2c59ec7743632621	60d4e6995ed91fe6	a0509015ca08c8d4	f098082f502b44cd	0fbae670fa780fd3	efabbd8bf47c041a	e1034573654a106f
37	88df85b0bbe77514	1a081afc59fdbc2c	2c59ec7743632621	60d4e6995ed91fe6	8fbfd0162bbf4675	f098082f502b44cd	0fbae670fa780fd3	efabbd8bf47c041a
38	002bb8e4cd989567	88df85b0bbe77514	1a081afc59fdbc2c	2c59ec7743632621	66adcfa249ac7bbd	8fbfd0162bbf4675	f098082f502b44cd	0fbae670fa780fd3
39	b3bb8542b3376de5	002bb8e4cd989567	88df85b0bbe77514	1a081afc59fdbc2c	b49596c20feba7de	66adcfa249ac7bbd	8fbfd0162bbf4675	f098082f502b44cd
40	8e01e125b855d225	b3bb8542b3376de5	002bb8e4cd989567	88df85b0bbe77514	0c710a47ba6a567b	b49596c20feba7de	66adcfa249ac7bbd	8fbfd0162bbf4675
41	b01521dd6a6be12c	8e01e125b855d225	b3bb8542b3376de5	002bb8e4cd989567	169008b3a4bb170b	0c710a47ba6a567b	b49596c20feba7de	66adcfa249ac7bbd
42	e96f89dd48cbd851	b01521dd6a6be12c	8e01e125b855d225	b3bb8542b3376de5	f0996439e7b50cb1	169008b3a4bb170b	0c710a47ba6a567b	b49596c20feba7de
43	bc05ba8de5d3c480	e96f89dd48cbd851	b01521dd6a6be12c	8e01e125b855d225	639cb938e14dc190	f0996439e7b50cb1	169008b3a4bb170b	0c710a47ba6a567b
44	35d7e7f41defcbd5	bc05ba8de5d3c480	e96f89dd48cbd851	b01521dd6a6be12c	cc5100997f5710f2	639cb938e14dc190	f0996439e7b50cb1	169008b3a4bb170b
45	c47c9d5c7ea8a234	35d7e7f41defcbd5	bc05ba8de5d3c480	e96f89dd48cbd851	858d832ae0e8911c	cc5100997f5710f2	639cb938e14dc190	f0996439e7b50cb1
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