For p = 7, q= 11, e = 13, and n = pq, find the multiplicative inverse of e, reduced modulo (n) using the extended Euclidean algorithm.

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
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For p = 7, q11, e = 13, and n = pq, find the multiplicative inverse of e, reduced modulo
☀ (n) using the extended Euclidean algorithm.
Remark: The textbook presents this algorithm as Exercises 28 and 29 in section 8.4 but gives a
different presentation of the table using unindexed variables and works left to right instead of
down. The same thing is essentially going on with the example from my lecture slides but with
less keeping track of redundant information. The exam question will have the same format as the
lecture slides. Back substitution is messy and more likely to result in errors.
Transcribed Image Text:For p = 7, q11, e = 13, and n = pq, find the multiplicative inverse of e, reduced modulo ☀ (n) using the extended Euclidean algorithm. Remark: The textbook presents this algorithm as Exercises 28 and 29 in section 8.4 but gives a different presentation of the table using unindexed variables and works left to right instead of down. The same thing is essentially going on with the example from my lecture slides but with less keeping track of redundant information. The exam question will have the same format as the lecture slides. Back substitution is messy and more likely to result in errors.
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