In thc Gibson schemc, the modulus N = p x ą is public, whilc its factors arc sccrct. The hashing function is defined as h(m) 9" mod N whcre g is a gcncrator of thc cyclic group Z. Let N = 4897 and 9 2231. Compute digests for the following two mcssages: 75676. Assumc that you have two colliding mcssages, show that it is possible to find factors ofN. Dcmonstrate that the knowledge of factors of N, allows m = 132748 and m' to find colliding messagcs.
In thc Gibson schemc, the modulus N = p x ą is public, whilc its factors arc sccrct. The hashing function is defined as h(m) 9" mod N whcre g is a gcncrator of thc cyclic group Z. Let N = 4897 and 9 2231. Compute digests for the following two mcssages: 75676. Assumc that you have two colliding mcssages, show that it is possible to find factors ofN. Dcmonstrate that the knowledge of factors of N, allows m = 132748 and m' to find colliding messagcs.
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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