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Toward the Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve

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Abstract

This is a first step toward the determination of the parameters of two-point codes on a Hermitian curve. We describe the dimension of such codes and determine the minimum distance of some two-point codes.

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Authors and Affiliations

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

    Masaaki Homma & Seon Jeong Kim

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

Correspondence to Masaaki Homma.

Additional information

Communicated by: J. D. Key

AMS Classification: 94B27, 14H50, 11T71, 11G20

Masaaki Homma - Partially supported by Grant-in-Aid for Scientific Research (15500017), JSPS.

Seon Jeong Kim - Partially supported by Korea Research Foundation Grant (KRF-2002-041-C00010).

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Homma, M., Kim, S.J. Toward the Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve. Des Codes Crypt 37, 111–132 (2005). https://doi.org/10.1007/s10623-004-3807-5

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  • DOI: https://doi.org/10.1007/s10623-004-3807-5

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