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

Authors :
Homma, Masaaki
Kim, Seon
Source :
Designs, Codes and Cryptography; June 2006, Vol. 39 Issue: 3 p375-386, 12p
Publication Year :
2006

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.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.

Details

Language :
English
ISSN :
09251022 and 15737586
Volume :
39
Issue :
3
Database :
Supplemental Index
Journal :
Designs, Codes and Cryptography
Publication Type :
Periodical
Accession number :
ejs11201382
Full Text :
https://doi.org/10.1007/s10623-005-5471-9