Antipodal two-weight rank metric codes

被引：0
|
作者：
Pratihar, Rakhi [1 ]
Randrianarisoa, Tovohery Hajatiana [2 ]
机构：
[1] Indraprastha Inst Informat Technol Delhi, New Delhi, India
[2] Florida Atlantic Univ, Boca Raton, FL USA
来源：
DESIGNS CODES AND CRYPTOGRAPHY | 2024年 / 92卷 / 03期
基金：
美国国家科学基金会;
关键词：
Rank metric codes; Antipodal two-weight; t-Spreads; Subspreads;
D O I：
10.1007/s10623-023-01283-9
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We consider the class of linear antipodal two-weight rank metric codes and discuss their properties and characterization in terms of t-spreads. It is shown that the dimension of such codes is two and the minimum rank distance is at least half of the length. We construct antipodal two-weight rank metric codes from certain MRD codes. A complete classification of such codes is obtained, when the minimum rank distance is equal to half of the length. As a consequence of our construction of two-weight rank metric codes, we get some explicit two-weight Hamming metric codes.
引用
收藏
页码：753 / 769
页数：17
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