Good codes from generalised algebraic geometry codes

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 F 16 which improve on the best known codes of the same length and rate. The construction me...

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Bibliographic Details
Main Authors: Jibril, Mubarak, Tomlinson, Martin, Ahmed, Mohammed Zaki, Tjhai, Cen
Format: Conference Proceeding
Language:English
Subjects:
Computational geometry
Error correction codes
Galois fields
Linear code
Mathematics
Polynomials
Online Access:Request full text
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Summary: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 F 16 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.
ISSN:2157-8095
2157-8117
DOI:10.1109/ISIT.2010.5513687