CONSTRUCTION OF EVALUATION CODES FROM HERMITIAN CURVES

• PARK Kyoung Ho

  Graduate School of Science and Engineering Saga University

• UEHARA Tsuyoshi

  Department of Information Science Faculty of Science and Engineering Saga University

抄録

An evaluation code is a generalization of a one-point algebraic geometry code. The aim of this article is to present a method of constructing evaluation codes from the Hermitian curves, and compute the Feng-Rao bounds for their minimum distances. It is proved that some of such evaluation codes have a better property than one-point Hermitian codes.

収録刊行物

• 九州数学雑誌

  九州数学雑誌 61 (2), 415-429, 2007

  九州大学大学院数理学研究院

キーワード

• Hermitian code
• minimum distance
• Feng-Rao bound

詳細情報

• CRID: 1390282680205482624
• NII論文ID: 110006377535
• NII書誌ID: AA10994346
• DOI: 10.2206/kyushujm.61.415
• ISSN: 18832032
• ISSN: 13406116
• Web Site: https://www.jstage.jst.go.jp/article/kyushujm/61/2/61_2_415/_pdf
• 本文言語コード: en
• データソース種別:
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• 抄録ライセンスフラグ: 使用不可