Answered: **GIVEN MESSAGE IS CAB2; IT IS NOT…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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**GIVEN MESSAGE IS CAB2; IT IS NOT AB12**

This homework relates to hash functions for block ciphers (sec 11.3.2)
 Block size = 8 bits
 Hash size = 8 bits
 Encryption function: Divide the key into two halves: LK and RK; Divide the plaintext into two
halves: LT and RT; Then ciphertext= LC||RC where LC=LK XOR RT; and RC = RK XOR LT;
where LC, RC, LT, and RT are each 4 bits; Plaintext and ciphertext are each 8 bits.
 g(H) = an 8-bit string that is equal to the complement of bits in H; For example, if H=A3 (Hexa)
= 10100011 (binary); then g(H)= 01011100
 H0 = Initial hash = 11001010
Given a message m: CAB2 (in Hexa);

Q.3 Determine the hash (in hexadecimal) of the message M using Migayuchi-Preneel hash
function (Fig. 11.6)

X1 ... Xn
Hj-1 +
Hị
I
Fig. 11.6 The Matyas-Meyer-Oseas hash function construction from block ciphers

Hj-1
eigggn
b
H-1
m
m
b
Н
Hị
Fig. 11.7 Davies-Meyer (left) and Miyaguchi-Preneel hash function constructions from block
ciphers

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