针对基于SM3的HMAC的互信息能量分析攻击

doi:10.11959/j.issn.1000-436x.2016248

Abstract

Abstract:

A novel method of mutual information power analysis attack was proposed.The method was built on the basis of the basic principle of power analysis and the basic theory of information.For the purpose of attacking the key,the mutual in-formation values was computed using two values between the mediate variable with the power traces.An experiment was im-plemented on the algorithm of HMAC based on SM3 using this method.The experimental results show the proposed attack method is effective because the initial value of state variable can be successfully retrieved to compute the real true key.

Key words: HAMC algorithm, SM3 algorithm, power analysis attack, mutual information power analysis attack, initial state

Zhen WU,Min WANG,Jin-tao RAO,Zhi-bo DU,Sheng WANG,Ling-hao ZHANG. Mutual information power analysis attack of HMAC based on SM3[J]. Journal on Communications, 2016, 37(Z1): 57-62.

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X₀字节数	候选	猜测密钥	互信息
	1	171(0xAB)	0.149 700 88
	2	175(0xAF)	0.091 114 76
1
	3	179(0xB3)	0.083 942 41
	4	173(0xAD)	0.080 647 47
	1	93(0x5D)	0.057 168 96
	2	221(0xDD)	0.036 893 606
2
	3	97(0x61)	0.028 832 912
	4	29(0x1D)	0.028 556 347
	1	139(0x8b)	0.045 111 18
	2	11(0xb)	0.032 523 155
3
	3	155(0x9b)	0.019 926 000
	4	171(0xab)	0.019 926 071
	1	88(0x58)	0.039 939 165
	2	216(0xd8)	0.028 746 128
4
	3	232(0xe8)	0.026 728 153
	4		0.023 374 557

Y₀字节数	候选	猜测密钥	互信息
	1	59(0x3b)	0.059 343 815
	2	27(0x1b)	0.051 928 997
1
	3	43(0x2b)	0.047 966 957
	4	51(0x33)	0.039 445 877
	1	123(0x7b)	0.054 609 776
	2	124(0x7c)	0.028 824 568
2
	3	125(0x7d)	0.027 479 887
	4	139(0x8b)	0.027 244 806
	1	5(0x5)	0.035 793 543
	2	7(0x7)	0.019 990 921
3
	3	21(0x15)	0.017 910 957
	4	9(0x9)	0.017 578 125
	1	95(0x5f)	0.058 778 763
	2	159(0x9f)	0.035 902 26
4
	3	223(0xdf)	0.035 723 21
	4	96(0x60)	0.033 185 96

Mutual information power analysis attack of HMAC based on SM3

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