A class of linear codes with their complete weight enumerators over finite fields

2021 ◽  
Author(s):  
Pavan Kumar ◽  
Noor Mohammad Khan
Keyword(s):  
Finite Fields ◽  
Linear Codes ◽  
Weight Enumerators

scholarly journals FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES

2004 ◽  
Vol 03 (03) ◽  
pp. 247-272 ◽  
Author(s):  
MARCUS GREFERATH ◽  
ALEXANDR NECHAEV ◽  
ROBERT WISBAUER
Keyword(s):  
Finite Fields ◽  
Linear Codes ◽  
General Setting ◽  
Commutative Rings ◽  
Finite Ring ◽  
Weight Enumerators ◽  
Frobenius Rings ◽  
Finite Frobenius Rings

The theory of linear codes over finite fields has been extended by A. Nechaev to codes over quasi-Frobenius modules over commutative rings, and by J. Wood to codes over (not necessarily commutative) finite Frobenius rings. In the present paper, we subsume these results by studying linear codes over quasi-Frobenius and Frobenius modules over any finite ring. Using the character module of the ring as alphabet, we show that fundamental results like MacWilliams' theorems on weight enumerators and code isometry can be obtained in this general setting.

scholarly journals Complete weight enumerators of a class of linear codes over finite fields

2021 ◽  
Vol 15 (1) ◽  
pp. 99-112
Author(s):  
Shudi Yang ◽  
◽  
Xiangli Kong ◽  
Xueying Shi ◽  
Keyword(s):  
Finite Fields ◽  
Linear Codes ◽  
Weight Enumerators

scholarly journals Shortened Linear Codes over Finite Fields

2021 ◽  
pp. 1-1
Author(s):  
Yang Liu ◽  
Cunsheng Ding ◽  
Chunming Tang
Keyword(s):  
Finite Fields ◽  
Linear Codes

scholarly journals A class of three-weight linear codes and their complete weight enumerators

2016 ◽  
Vol 9 (1) ◽  
pp. 133-149 ◽  
Author(s):  
Shudi Yang ◽  
Zheng-An Yao ◽  
Chang-An Zhao
Keyword(s):  
Linear Codes ◽  
Weight Enumerators

Complete weight enumerators of some linear codes and their applications

2015 ◽  
Vol 81 (1) ◽  
pp. 153-168 ◽  
Author(s):  
Chengju Li ◽  
Sunghan Bae ◽  
Jaehyun Ahn ◽  
Shudi Yang ◽  
Zheng-An Yao
Keyword(s):  
Linear Codes ◽  
Weight Enumerators

scholarly journals A class of linear codes and their complete weight enumerators

2021 ◽  
Vol 15 (1) ◽  
pp. 73-97
Author(s):  
Dandan Wang ◽  
◽  
Xiwang Cao ◽  
Gaojun Luo ◽  
Keyword(s):  
Linear Codes ◽  
Weight Enumerators

scholarly journals Complete weight enumerators of a class of linear codes

2017 ◽  
Vol 340 (4) ◽  
pp. 729-739 ◽  
Author(s):  
Shudi Yang ◽  
Zheng-An Yao
Keyword(s):  
Linear Codes ◽  
Weight Enumerators
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