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

Harzalla, Driss

Softcover

ISBN 10: 6202078634 ISBN 13: 9786202078634

Verlag: LAP LAMBERT Academic Publishing, 2017

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

I hold a PhD in Mathematical Sciences supported at Chouaib Doukkali University. I taught mathematics for twenty three years. I am also an associate member of the Laboratory of Fundamental Mathematics - Chouaib Doukkali University, El Jadida Morocco. The field of my research is applied algebra, the theory of correcting codes and cryptography.

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 6202078634
• ISBN 13: 9786202078634
• Einband: Taschenbuch
• Anzahl der Seiten: 84
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Fastbook Publishing; customerservice@vdm-vsg.de; ; Brivibas gatve 197; Riga; 1039; Lettland