Good Codes From Generalised Algebraic Geometry Codes

Details Good Codes From Generalised Algebraic Geometry Codes Good Codes From Generalised Algebraic Geometry Codes

2010-06-04

arxiv.org/abs/1006.0763v1

Computer Science

Information Theory

3 pages, to be presented at the IEEE Symposium on Information Theory (ISIT 2010) in Austin, Texas, June 2010

Scientific paper

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 GF(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.

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