The Two-Point Codes with the Designed Distance on a Hermitian Curve in Even Characteristic
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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.
[1] Masaaki Homma,et al. The Complete Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve , 2006, Des. Codes Cryptogr..
[2] Masaaki Homma,et al. The Two-Point Codes on a Hermitian Curve with the Designed Minimum Distance , 2006, Des. Codes Cryptogr..
[3] Masaaki Homma,et al. Toward the Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve , 2005, Des. Codes Cryptogr..