Advances in coding theory and cryptography / editors T. Shaska [and others].

Includes bibliographical references.

The key equation for codes from order domains -- A Grobner representation for linear codes -- Arcs, minihypers, and the classification of three-dimensional -- Griesmer codes -- Optical orthogonal codes from singer groups -- Codes over Fp2 and Fp Fp, lattices, and theta functions -- Goppa codes and Tschirnhausen modules -- Remarks on s-extremal codes -- Automorphism groups of generalized Reed-Solomon codes -- About the code equivalence -- Permutation decoding for binary self-dual codes from the Graph Qn where n is even -- The sum-product algorithm on small graphs -- On the extremal graph theory for directed graphs and its cryptographical applications -- Fast arithmetic on hyperelliptic curves via continued fraction expansions -- The number of inequivalent binary self-orthogonal codes of dimension 6.

Print version record.

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, automorph.

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