Galois self-orthogonal constacyclic codes over finite fields

2021 ◽  
Author(s):  
Yuqing Fu ◽  
Hongwei Liu
Keyword(s):  
Finite Fields ◽  
Constacyclic Codes

Constructing MDS Galois self-dual constacyclic codes over finite fields

2021 ◽  
Vol 344 (6) ◽  
pp. 112388
Author(s):  
Jiafu Mi ◽  
Xiwang Cao
Keyword(s):  
Finite Fields ◽  
Constacyclic Codes

MDS Constacyclic Codes of Prime Power Lengths Over Finite Fields and Construction of Quantum MDS Codes

2020 ◽  
Vol 59 (10) ◽  
pp. 3043-3078
Author(s):  
Hai Q. Dinh ◽  
Ramy Taki ElDin ◽  
Bac T. Nguyen ◽  
Roengchai Tansuchat
Keyword(s):  
Finite Fields ◽  
Prime Power ◽  
Mds Codes ◽  
Constacyclic Codes ◽  
Quantum Mds Codes

scholarly journals The average dimension of the Hermitian hull of constacyclic codes over finite fields of square order

2018 ◽  
Vol 12 (3) ◽  
pp. 451-463 ◽  
Author(s):  
Somphong Jitman ◽  
◽  
Ekkasit Sangwisut ◽  
Keyword(s):  
Finite Fields ◽  
Constacyclic Codes ◽  
Average Dimension

scholarly journals Skew Constacyclic Codes over Finite Fields and Finite Chain Rings

2016 ◽  
Vol 2016 ◽  
pp. 1-17 ◽  
Author(s):  
Hai Q. Dinh ◽  
Bac T. Nguyen ◽  
Songsak Sriboonchitta
Keyword(s):  
Finite Fields ◽  
Bch Codes ◽  
Constacyclic Codes ◽  
Finite Chain ◽  
Dual Codes ◽  
Negacyclic Codes ◽  
Finite Chain Rings

This paper overviews the study of skewΘ-λ-constacyclic codes over finite fields and finite commutative chain rings. The structure of skewΘ-λ-constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skewΘ-cyclic and skewΘ-negacyclic codes over finite chain rings in general and overFpm+uFpmin particular. Moreover, general decoding procedure for decoding skew BCH codes with designed distance and an algorithm for decoding skew BCH codes are discussed.

On constacyclic codes over finite fields

2015 ◽  
Vol 8 (4) ◽  
pp. 617-636 ◽  
Author(s):  
Anuradha Sharma ◽  
Saroj Rani
Keyword(s):  
Finite Fields ◽  
Constacyclic Codes

scholarly journals Hermitian Self-Orthogonal Constacyclic Codes over Finite Fields

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Amita Sahni ◽  
Poonam Trama Sehgal
Keyword(s):  
Finite Field ◽  
Finite Fields ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Mds Codes ◽  
Constacyclic Codes ◽  
Necessary And Sufficient ◽  
Defining Sets

Necessary and sufficient conditions for the existence of Hermitian self-orthogonal constacyclic codes of length n over a finite field Fq2, n coprime to q, are found. The defining sets and corresponding generator polynomials of these codes are also characterised. A formula for the number of Hermitian self-orthogonal constacyclic codes of length n over a finite field Fq2 is obtained. Conditions for the existence of numerous MDS Hermitian self-orthogonal constacyclic codes are obtained. The defining set and the number of such MDS codes are also found.

scholarly journals On matrix-product structure of repeated-root constacyclic codes over finite fields

2020 ◽  
Vol 343 (4) ◽  
pp. 111768 ◽  
Author(s):  
Yonglin Cao ◽  
Yuan Cao ◽  
Hai Q. Dinh ◽  
Fang-Wei Fu ◽  
Paravee Maneejuk
Keyword(s):  
Finite Fields ◽  
Product Structure ◽  
Matrix Product ◽  
Constacyclic Codes

scholarly journals Constacyclic codes over finite fields

2012 ◽  
Vol 18 (6) ◽  
pp. 1217-1231 ◽  
Author(s):  
Bocong Chen ◽  
Yun Fan ◽  
Liren Lin ◽  
Hongwei Liu
Keyword(s):  
Finite Fields ◽  
Constacyclic Codes

On self-dual constacyclic codes over finite fields

2013 ◽  
Vol 74 (2) ◽  
pp. 355-364 ◽  
Author(s):  
Yiansheng Yang ◽  
Wenchao Cai
Keyword(s):  
Finite Fields ◽  
Constacyclic Codes
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