scholarly journals On multiplicative matrix channels over finite chain rings

2013 ◽  
Author(s):  
Roberto W. Nobrega ◽  
Chen Feng ◽  
Danilo Silva ◽  
Bartolomeu F. Uchoa-Filho
Keyword(s):  
Finite Chain ◽  
Finite Chain Rings

Critical Problem for codes over finite chain rings

2021 ◽  
Vol 76 ◽  
pp. 101900
Author(s):  
Koji Imamura ◽  
Keisuke Shiromoto
Keyword(s):  
Finite Chain ◽  
Critical Problem ◽  
Finite Chain Rings

scholarly journals Repeated-root constacyclic codes of prime power lengths over finite chain rings

2017 ◽  
Vol 43 ◽  
pp. 22-41 ◽  
Author(s):  
Hai Q. Dinh ◽  
Hien D.T. Nguyen ◽  
Songsak Sriboonchitta ◽  
Thang M. Vo
Keyword(s):  
Prime Power ◽  
Constacyclic Codes ◽  
Finite Chain ◽  
Finite Chain Rings

Negacyclic self-dual codes over finite chain rings

2011 ◽  
Vol 62 (2) ◽  
pp. 161-174 ◽  
Author(s):  
Xiaoshan Kai ◽  
Shixin Zhu
Keyword(s):  
Finite Chain ◽  
Dual Codes ◽  
Finite Chain Rings

scholarly journals Decoding Linear Codes over Chain Rings Given by Parity Check Matrices

Mathematics ◽  
2021 ◽  
Vol 9 (16) ◽  
pp. 1878
Author(s):  
José Gómez-Torrecillas ◽  
F. J. Lobillo ◽  
Gabriel Navarro
Keyword(s):  
Linear Codes ◽  
Residue Field ◽  
Finite Chain ◽  
Parity Check ◽  
Decoding Algorithm ◽  
Decoding Algorithms ◽  
Finite Chain Rings

We design a decoding algorithm for linear codes over finite chain rings given by their parity check matrices. It is assumed that decoding algorithms over the residue field are known at each degree of the adic decomposition.

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