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The Two-Point Codes with the Designed Distance on a Hermitian Curve in Even Characteristic

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Abstract

In Homma M and Kim SJ [2], the authors considered two-point codes on a Hermitian curve defined over fields of odd characteristic. In this paper, we study the geometry of a Hermitian curve over fields of even characteristic and classify the two-point codes whose minimum distances agree with the designed ones.

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References

  1. M Homma SJ Kim (2005) ArticleTitleToward the determination of the minimum distance of two-point codes on a Hermitian curve Des Codes Cryptogr 37 111–132 Occurrence Handle10.1007/s10623-004-3807-5 Occurrence Handle2165044

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  2. M Homma SJ Kim (2006) ArticleTitleThe two-point codes on a Hermitian curve with the designed minimum distance Des Codes Cryptogr 38 55–81 Occurrence Handle10.1007/s10623-004-5661-x Occurrence Handle2191125

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Authors and Affiliations

  1. Department of Mathematics, Kanagawa University, Yokohama, 221-8686, Japan

    Masaaki Homma

  2. Department of Mathematics and RINS, Gyeongsang National University, Jinju, 660-701, Korea

    Seon Jeong Kim

Authors
  1. Masaaki Homma
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  2. Seon Jeong Kim
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Corresponding author

Correspondence to Seon Jeong Kim.

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Communicated by P. Charpin

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Homma, M., Kim, S.J. The Two-Point Codes with the Designed Distance on a Hermitian Curve in Even Characteristic. Des Codes Crypt 39, 375–386 (2006). https://doi.org/10.1007/s10623-005-5471-9

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  • DOI: https://doi.org/10.1007/s10623-005-5471-9

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