Advances In Coding Theory And Cryptography

Covers error-correcting codes, automorphism groups of codes, the key equation for codes from order domains, codes over rings, and theta functions of certain codes. This book contains articles on cryptography - small dimensional varieties, Jacobians of curves, theta functions of hyperelliptic curves, and elliptic curve cryptography.

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In the new era of technology and advanced communications, coding theory and cryptography play a particularly significant role with a huge amount of research being done in both areas. This book presents some of that research, authored by prominent experts in the field.The book contains articles from a variety of topics most of which are from coding theory. Such topics include codes over order domains, Groebner representation of linear codes, Griesmer codes, optical orthogonal codes, lattices and theta functions related to codes, Goppa codes and Tschirnhausen modules, s-extremal codes, automorphisms of codes, etc. There are also papers in cryptography which include articles on extremal graph theory and its applications in cryptography, fast arithmetic on hyperelliptic curves via continued fraction expansions, etc. Researchers working in coding theory and cryptography will find this book an excellent source of information on recent research.