On the Subcode-Support-Weight Distributions of Some Classes of Optimal Codes

被引：2

作者：

Luo, Yu ^{[1
]}

Liu, Zihui ^{[2
]}

机构：

[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China

[2] Beijing Inst Technol, Dept Math, Key Lab Math Theory & Computat Informat Secur, Beijing 100081, Peoples R China

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2023年 / 69卷 / 03期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Codes; Generators; Hamming weight; Codecs; Complexity theory; Mathematics; Linear codes; Down-set; value assignment; subcode support; generalized Hamming weight; TRELLIS COMPLEXITY; ARY CODES;

D O I：

10.1109/TIT.2022.3217078

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on the concept of the value assignment and the enumeration techniques in the projective space, we determine the subcode-support-weight distributions for several classes of linear optimal codes which were constructed recently by using the so-called down-sets. Particularly, the generalized Hamming weights of these classes of optimal codes can be determined from their subcode-support-weight distributions. By using the value assignment, we also determine the trellis complexity of each class of optimal codes.

引用

页码：1531 / 1543

页数：13

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