Projective MDS Codes Over GF(27)

被引：1
作者：
Al-Zangana, Emad Bakr Abdulkareem [1 ]
机构：
[1] Mustansiriyah Univ, Coll Sci, Dept Math, Baghdad, Iraq
来源：
BAGHDAD SCIENCE JOURNAL | 2021年 / 18卷 / 02期
关键词：
Conic; Finite field; Finite projective plane; Maximum distance separable codes;
D O I：
10.21123/bsj.2021.18.2(Suppl.).1125
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
MDS code is a linear code that achieves equality in the Singleton bound, and projective MDS (PG-MDS) is MDS code with independents property of any two columns of its generator matrix. In this paper, elementary methods for modifying a PG-MDS code of dimensions 2, 3, as extending and lengthening, in order to find new incomplete PG-MDS codes have been used over GF(27). Also, two complete PG-MDS codes over GF(27) of length 16 and 28 have been found.
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页码：1125 / 1132
页数：8
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