Wei-type duality theorems for rank metric codes

被引：7
|
作者：
Britz, Thomas [1 ]
Mammoliti, Adam [2 ]
Shiromoto, Keisuke [3 ]
机构：
[1] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia
[2] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia
[3] Kumamoto Univ, Dept Math & Engn, 2-39-1 Kurokami, Kumamoto 8608555, Japan
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2020年 / 88卷 / 08期
关键词：
Rank-metric code; Wei's Duality Theorem; Demimatroid; GENERALIZED HAMMING WEIGHTS; LINEAR CODES; ENUMERATORS; SUPPORTS; DESIGNS;
D O I：
10.1007/s10623-019-00688-9
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We extend and provide new proofs of the Wei-type duality theorems, due to Ducoat and Ravagnani, for Gabidulin-Roth rank-metric codes and for Delsarte rank-metric codes. These results follow as corollaries from fundamental Wei-type duality theorems that we prove for certain general combinatorial structures.
引用
收藏
页码：1503 / 1519
页数：17
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