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.
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页数：20
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