Good codes from generalised algebraic geometry codes
Date
2010Author
Jibril, M
Tomlinson, M
Ahmed, Mohammed Zaki
Tjhai, C
Subject
cs.IT cs.IT math.IT
Metadata
Show full item recordAbstract
Algebraic geometry codes or Goppa codes are defined with places of degree one. In constructing generalised algebraic geometry codes places of higher degree are used. In this paper we present 41 new codes over F16 which improve on the best known codes of the same length and rate. The construction method uses places of small degree with a technique originally published over 10 years ago for the construction of generalised algebraic geometry codes. © 2010 IEEE.
Description
keywords: Goppa codes;algebraic codes;geometric codes;Goppa code;generalised algebraic geometry code;Computational geometry;Error correction codes;Galois fields;Linear code;Mathematics;Polynomials
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Publisher
IEEE
Journal
Information Theory Proceedings (ISIT), 2010 IEEE International Symposium on
Pagination
1130-1132-1130-1132
Publisher URL
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