Cyclic Codes As Submodules Of Rings And Direct Product Of Rings
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Author | : Serdar Boztas |
Publisher | : Springer |
Total Pages | : 379 |
Release | : 2007-11-29 |
Genre | : Computers |
ISBN | : 3540772243 |
This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.
Author | : Patrick Sole |
Publisher | : World Scientific |
Total Pages | : 201 |
Release | : 2009-07-16 |
Genre | : Mathematics |
ISBN | : 9814468991 |
This is the proceedings volume of the International Centre for Pure and Applied Mathematics Summer School course held in Ankara, Turkey, in August 2008. Contributors include Boztaş, Udaya, Dinh, Ling, López-Permouth, Szabo, Honold, Landjev and Wood. The aim is to present a survey in fundamental areas and highlight some recent results.
Author | : Minjia Shi |
Publisher | : Academic Press |
Total Pages | : 320 |
Release | : 2017-06-12 |
Genre | : Mathematics |
ISBN | : 0128133910 |
Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. - Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature - Discusses duality formulas in the context of Frobenius rings - Reviews decomposition of quasi-cyclic codes under ring action - Evaluates the ideal and modular structure of skew-cyclic codes - Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction
Author | : M. Isaacs |
Publisher | : American Mathematical Soc. |
Total Pages | : 392 |
Release | : 1989 |
Genre | : Computers |
ISBN | : 0821850989 |
Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.
Author | : Patrick Solé |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 190 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 9789812837684 |
This is the proceedings volume of the International Centre for Pure and Applied Mathematics Summer School course held in Ankara, Turkey, in August 2008. Contributors include Greferath, Honold, Landgev, Ling, Lopez, Nebe, Nechaev, Özbudak, Solé, Wolfmann and Wood. The aim is to present a survey in fundamental areas and highlight some recent results.
Author | : |
Publisher | : |
Total Pages | : 534 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : |
Author | : W. B. Vasantha Kandasamy |
Publisher | : Infinite Study |
Total Pages | : 222 |
Release | : 2002 |
Genre | : Mathematics |
ISBN | : 1931233640 |
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B which is embedded with a stronger structure S.By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A.These types of structures occur in our every day?s life, that?s why we study them in this book.Thus, as two particular cases:A Smarandache ring of level I (S-ring I) is a ring R that contains a proper subset that is a field with respect to the operations induced. A Smarandache ring of level II (S-ring II) is a ring R that contains a proper subset A that verifies: ?A is an additive abelian group; ?A is a semigroup under multiplication;?For a, b I A, a?b = 0 if and only if a = 0 or b = 0.
Author | : |
Publisher | : |
Total Pages | : 406 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
Author | : IEEE Information Theory Society |
Publisher | : Institute of Electrical & Electronics Engineers(IEEE) |
Total Pages | : 426 |
Release | : 1991 |
Genre | : Computers |
ISBN | : |
Author | : |
Publisher | : |
Total Pages | : 426 |
Release | : 1991 |
Genre | : Information theory |
ISBN | : |