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

Chien Yu Chen; Iwan M. Duursma

doi:10.1109/TIT.2003.810659

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

Chien Yu Chen, Iwan M. Duursma

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	1351-1353
Number of pages	3
Journal	IEEE Transactions on Information Theory
Volume	49
Issue number	5
DOIs	https://doi.org/10.1109/TIT.2003.810659
State	Published - May 2003

Keywords

Geometric Goppa code
Hansen-Stichtenoth curve

ASJC Scopus subject areas

Information Systems
Computer Science Applications
Library and Information Sciences

Online availability

10.1109/TIT.2003.810659

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Cite this

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title = "Geometric Reed-Solomon codes of length 64 and 65 over F8",

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.",

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