Two-Weight Codes and Second Order Recurrences

被引：2

作者：

Shi, Minjia ^{[1
]}

Zhang, Zhongyi ^{[2
]}

Sole, Patrick ^{[3
]}

机构：

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

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

[3] Aix Marseille Univ, Cent Marseile, CNRS, I2M, Marseille, France

来源：

CHINESE JOURNAL OF ELECTRONICS | 2019年 / 28卷 / 06期

基金：

中国国家自然科学基金;

关键词：

cyclic codes; polynomials; nonzero weight distribution; second order recurrences; two-weight codes; maximum distance separable code; Two-weight codes; Irreducible Cyclic codes; MDS codes; Linear recurrences;

D O I：

10.1049/cje.2019.07.001

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Cyclic codes of dimension 2 over a finite field are shown to have at most two nonzero weights. We compute their weight distribution, and give a condition on the roots of their check polynomials for them to be maximum distance separable code.

引用

页码：1127 / 1130

页数：4

共 50 条

[21] A Characterization of Two-Weight Projective Cyclic Codes
Feng, Tao
IEEE TRANSACTIONS ON INFORMATION THEORY, 2015, 61 (01) : 66 - 71
[22] Antipodal two-weight rank metric codes
Rakhi Pratihar
Tovohery Hajatiana Randrianarisoa
Designs, Codes and Cryptography, 2024, 92 : 753 - 769
[23] All two-weight irreducible cyclic codes?
Schmidt, B
White, C
FINITE FIELDS AND THEIR APPLICATIONS, 2002, 8 (01) : 1 - 17
[24] Optimal Ternary Cubic Two-Weight Codes
Shi Minjia
Huang Daitao
Sole, Patrick
CHINESE JOURNAL OF ELECTRONICS, 2018, 27 (04) : 734 - 738
[25] Optimal Ternary Cubic Two-Weight Codes
SHI Minjia
HUANG Daitao
SOL Patrick
Chinese Journal of Electronics, 2018, 27 (04) : 734 - 738
[26] Complete weight enumerators of a class of two-weight linear codes
Shudi Yang
Qin Yue
Yansheng Wu
Xiangli Kong
Cryptography and Communications, 2019, 11 : 609 - 620
[27] Complete weight enumerators of a class of two-weight linear codes
Yang, Shudi
Yue, Qin
Wu, Yansheng
Kong, Xiangli
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 609 - 620
[28] SOME TWO-WEIGHT AND THREE-WEIGHT LINEAR CODES
Li, Chengju
Bae, Sunghan
Yang, Shudi
ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2019, 13 (01) : 195 - 211
[29] Two new classes of projective two-weight linear codes
Zhu, Canze
Liao, Qunying
FINITE FIELDS AND THEIR APPLICATIONS, 2023, 88
[30] Five classes of optimal two-weight linear codes
Luo, Gaojun
Cao, Xiwang
CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2018, 10 (06): : 1119 - 1135

← 1 2 3 4 5 →