Geometric Reed-Solomon codes of length 64 and 65 over F8

Chien Yu Chen, Iwan M. Duursma

Research output: Contribution to journalArticlepeer-review

Abstract

We determine the actual parameters for a class of one-point codes of length 64 and 65 over F8 defined by Hansen-Stichtenoth [1]. Several codes have a minimum distance that exceeds the Feng-Rao bound. The codes with parameters [64, 5, 51], [64, 10, 42], [64, 11, 42], [64, 12, 40], [65, 5, 52], [65, 10, 43], [65, 11, 42], [65, 12, 41], and [65, 13, 40] are better than any known code.

Original languageEnglish (US)
Pages (from-to)1351-1353
Number of pages3
JournalIEEE Transactions on Information Theory
Volume49
Issue number5
DOIs
StatePublished - May 2003

Keywords

  • Geometric Goppa code
  • Hansen-Stichtenoth curve

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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