YET ANOTHER VARIATION ON MINIMAL LINEAR CODES

被引：7
|
作者：
Cohen, Gerard [1 ]
Mesnager, Sihem [2 ,3 ]
Randriam, Hugues [1 ]
机构：
[1] Telecom ParisTech, CNRS, UMR 5141, 46 Rue Barrault, F-75634 Paris 13, France
[2] Univ Paris 13, Telecom ParisTech, Sorbonne Paris Cite, LAGA,CNRS,UMR 7539, F-93430 Villetaneuse, France
[3] Univ Paris 08, Telecom ParisTech, Sorbonne Paris Cite, LAGA,CNRS,UMR 7539, F-93526 St Denis 02, France
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2016年 / 10卷 / 01期
关键词：
Linear codes; minimal codes; quasi-minimal codes; INTERSECTING CODES;
D O I：
10.3934/amc.2016.10.53
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Minimal linear codes are linear codes such that the support of every codeword does not contain the support of another linearly independent codeword. Such codes have applications in cryptography, e.g. to secret sharing. We pursue here their study and construct improved asymptotically good families of minimal linear codes. We also consider quasi-minimal, t-minimal, and t-quasi-minimal linear codes, which are new variations on this notion.
引用
收藏
页码：53 / 61
页数：9
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