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

Authors:
Masaaki Homma;Seon Jeong Kim
Affiliations:
Department of Mathematics, Kanagawa University, Yokohama, Japan 221-8686;Department of Mathematics, Kanagawa University, Yokohama, Japan 221-8686
Venue:
Designs, Codes and Cryptography
Year:
2005

Citing 3
Cited 6

Remarks on codes from Hermitian curves

IEEE Transactions on Information Theory
Weierstrass Pairs and Minimum Distance of Goppa Codes

Designs, Codes and Cryptography
Algebraic-Geometric Codes

Algebraic-Geometric Codes

The Two-Point Codes on a Hermitian Curve with the Designed Minimum Distance

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

Designs, Codes and Cryptography
The Complete Determination of the Minimum Distance of Two-Point Codes on a Hermitian Curve

Designs, Codes and Cryptography
The second generalized Hamming weight for two-point codes on a Hermitian curve

Designs, Codes and Cryptography
Minimum distance decoding of general algebraic geometry codes via lists

IEEE Transactions on Information Theory
The order bound for general algebraic geometric codes

Finite Fields and Their Applications

Quantified Score

Hi-index	0.06

Visualization

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.