Minimal linear codes constructed from partial spreads

被引：0
|
作者：
Xia Wu
Wei Lu
Xiwang Cao
Gaojun Luo
机构：
[1] Southeast University,School of Mathematics
[2] Nanjing University of Aeronautics and Astronautics,School of Mathematics
[3] Nanyang Technological University (NTU),School of Physical and Mathematical Sciences
来源：
Cryptography and Communications | 2024年 / 16卷
关键词：
Linear code; Minimal code; Partial spread; 94B05; 94A62;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Partial spreads are important in finite geometry and can be used to construct linear codes. From the results in (Des. Codes Cryptogr. 90, 1–15, 2022) by Xia Li, Qin Yue and Deng Tang, we know that if the number of the elements in a partial spread is “big enough”, then the corresponding linear code is minimal. This paper used the sufficient condition in (IEEE Trans. Inf. Theory 44(5), 2010–2017, 1998) to prove the minimality of such linear codes. In the present paper, we use the geometric approach to study the minimality of linear codes constructed from partial spreads in all cases.
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页码：601 / 611
页数：10
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