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Abstract Algebra: An Introduction
Found in: Page 437
Abstract Algebra: An Introduction

Abstract Algebra: An Introduction

Book edition 3rd
Author(s) Thomas W Hungerford, David Leep
Pages 608 pages
ISBN 9781111569624

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Short Answer

Find the decoding algorithm for the code in Exercise 3.

The required algorithm for decoding the code Cidmod 2773=Bi , for the received message in the block form C1C2C3C4...Cm, are given by B1B2B3B4...Bm.

See the step by step solution

Step by Step Solution

Define RSA algorithm.

RSA algorithm is used to encode and decode messages. RSA algorithm is a public key cryptography algorithm. This form of the algorithm is asymmetric cryptographic algorithm and uses two different type of keys.

Determine the decoding algorithm

Take n=2773 and e=3 in the RSA algorithm.



Let, p=77 , q=59 and


Compute the value of d using 3d1mod 2663 .

Thus, d=888.

Now, compute the values Cidmod 2773=Bi, for the received message in the block form, C1C2C3C4...Cm.

The decoded messages are given by B1B2B3B4...Bm.

Thus is the required algorithm.

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