The b-symbol weight hierarchy of the Kasami codes

被引：0

作者：

Zhu, Hongwei ^{[1
,2
]}

Shi, Minjia ^{[3
,4
]}

机构：

[1] Tsinghua Univ, Tsinghua Shenzhen Int Grad Sch, Shenzhen 518055, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

[3] Anhui Univ, Sch Math Sci, Key Lab Intelligent Comp & Signal Proc, Minist Educ, Hefei 230601, Peoples R China

[4] Chinese Acad Sci, State Key Lab Informat Secur, Inst Informat Engn, Beijing 100093, Peoples R China

来源：

DISCRETE MATHEMATICS | 2024年 / 347卷 / 02期

关键词：

Kasami codes; b -symbol metric; b -symbol weight hierarchy; Symbol-pair weight distribution; DISTANCE SEPARABLE CODES; CYCLIC CODES; HAMMING WEIGHTS; DISTRIBUTIONS;

D O I：

10.1016/j.disc.2023.113774

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The symbol-pair read channel was first proposed by Cassuto and Blaum. Later, Yaakobi et al. generalized it to the b-symbol read channel. It is motivated by the limitations of the reading process in high density data storage systems. One main task in b-symbol coding theory is to determine the b-symbol weight hierarchy of codes. In this paper, we study the b-symbol weight hierarchy of the Kasami codes, which are well known for their applications to construct sequences with optimal correlation magnitudes. The complete symbol-pair weight distribution of the Kasami codes is determined. (c) 2023 Published by Elsevier B.V.

引用

页数：20

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