Binary Linear Codes, Binary Matrices and graphs : An efficient method for computing the automorphism groups

Language: English

Published by LAP LAMBERT Academic Publishing, 2017

6202078634 / 9786202078634

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nach der Bestellung gedruckt Neuware - Printed after ordering - After the second World War, Claude Shannon formalized the information theory as a branch of mathematics, posing the problems of reliability and security. Reliability deals with the ability to transmit without error a message despite alterations in communication: it is treated by error correcting codes theory. In 1950, Richard Wesley Hamming worked with Shannon on this subject. He used vector spaces of finite dimension over finite fields to formalize operational framework to the theory and find the first examples of optimal correcting codes. This approach gave rise to the linear codes theory. The automorphism group is useful in: determining the structure of codes, computing weight distributions of codes, determining whether two codes are equivalent, in some decoding algorithms and in group theory. Recall that the classification of finite simple groups has been completed thanks to sporadic groups such as Mathieu groups which was realized as the authomorphism group of Golay codes. This book consists of four Chapter and an Annex. It is intended for PhD students and future engineers. It is also useful for researchers interested in topics of coding theory and cryptography.

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Title
Binary Linear Codes, Binary Matrices and graphs : An efficient method for computing the automorphism groups
Author
Driss Harzalla
Publisher
LAP LAMBERT Academic Publishing
Publication year
2017
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
6202078634
ISBN 13
9786202078634
Item weight
143 grams
Dimensions
220x150x6 mm

AHA-BUCH GmbH

Einbeck, Germany

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