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 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.Comment: 3 pages, to be presented at the IEEE Symposium on Information Theory (ISIT 2010) in Austin, Texas, June 201

Global function fields with many rational places

Ph.DDOCTOR OF PHILOSOPH

Error-Correction Coding and Decoding: Bounds, Codes, Decoders, Analysis and Applications

Coding; Communications; Engineering; Networks; Information Theory; Algorithm

Some new codes from algebraic curves

10.1109/18.887873IEEE Transactions on Information Theory4672638-2642IETT