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4.2.2 ‘Åš«.e¯K4.1¤õVÇTheorem½n4.2(¯K4.1¤õVÇ) XJrhash¼êhw¤randomoracle§…ÑÑ˜mŒ|Y| = M§é?¿‰½y ∈ Y§?¿Q‡Ñ\¥–3˜‡Ñ\xkh(x) = y VÇɛ = 1 − (1 − 1/M) Q "Proof.-Q‡Š {x 1 , . . . , x Q }§éu1 ≤ i ≤ Q§-E i L«¯‡/h(x i ) = y0§@oE i´Õá¯‡§¿…é¤k1 ≤ i ≤ Q§Pr[E i ] = 1/M"Ïd§e¡ª¤áPr[E 1 ∪ E 2 ∪ . . . ∪ E Q ] =(1 − 1 ) QM
Page 1 and 2: 密码学基础第四章 :Has
Page 3 and 4: 作业 Hash 函数与数据
Page 5 and 6: 4.1 4.2 4.3 4.44.1 Hash¼ê†êâ5
Page 7 and 8: 4.1 4.2 4.3 4.44.1 Hash¼ê†êâ5
Page 9 and 10: 4.1 4.2 4.3 4.44.2 Hash¼êS5¯Kµ
Page 11 and 12: 4.1 4.2 4.3 4.44.2 Hash¼êS5o(µ˜
Page 13 and 14: 4.2 Hash¼êS5Ø÷vHashS‡¦~fµ~
Page 15 and 16: 4.2 Hash¼êS5ý¢~f2µSHA (Secure
Page 17: 4.1 4.2 4.3 4.44.2.1 ‘Åš«.!·
Page 21 and 22: 4.2.2 ‘Åš«.e¯K4.1¤õVÇ½n4.
Page 23 and 24: 4.1 4.2 4.3 4.44.2.2 é-E¯K)FôÂ)
Page 25 and 26: 生日攻击表
Page 27 and 28: 4.2.2 é-E¯K)FôÂl½n4.4Œ±wµXJ
Page 29: Weak collision-free implies one-way
Page 32 and 33: 4.3 S“Hash¼êÑ\˜mk Hash¼ê¡
Page 34 and 35: 4.3 S“Hash¼êzrFigure: dØ¼êco
Page 36 and 37: 4.3 S“Hash¼ê5¿¯‘µý?n¥x
Page 38 and 39: 4.3.1 Merkle-Damgȧrd(e¡·‚íÑ
Page 40 and 41: 4.3.1 Merkle-Damgȧrd([y²µ1 r = 1
Page 42 and 43: 4.3.1 Merkle-Damgȧrd('uþ¡[y²`²
Page 44 and 45: 4.3.1 Merkle-Damgȧrd(Šâc¡é[y²
Page 46 and 47: 4.3.2 SHashŽ{êâSŽ{(SHA){0µSHA
Page 48 and 49: SHA-1 Compression Function
Page 50 and 51: 4.3.2 SHashŽ{SHA-1Ž{(µš‚5¼ê
Page 52 and 53: 4.3.2 SHashŽ{SHA-1OŽL§£Y¤µfor
Page 54 and 55: 4.1 4.2 4.3 4.44.4 žE@yèžE@yè(m
Page 56 and 57: 4.1 4.2 4.3 4.44.4 žE@yèS5µ(@žE
Page 58 and 59: 4.1 4.2 4.3 4.44.4 žE@yè(1, 1)bk
Page 60 and 61: 4.1 4.2 4.3 4.44.4.1 i@MACÚHMACHMA
Page 62 and 63: Keyed Hash Functions as MACs have d
Page 64 and 65: HMAC Overview

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