Construction and decoding of matrix-product codes from nested codes

2009 ◽  
Vol 20 (5-6) ◽  
pp. 497-507 ◽  
Author(s):  
Fernando Hernando ◽  
Kristine Lally ◽  
Diego Ruano
Keyword(s):  
Matrix Product ◽  
Product Codes ◽  
Nested Codes

scholarly journals List decoding of matrix-product codes from nested codes: An application to quasi-cyclic codes

2012 ◽  
Vol 6 (3) ◽  
pp. 259-272 ◽  
Author(s):  
Fernando Hernando ◽  
◽  
Tom Høholdt ◽  
Diego Ruano ◽  
◽  
...  
Keyword(s):  
Cyclic Codes ◽  
Matrix Product ◽  
List Decoding ◽  
Product Codes ◽  
Nested Codes ◽  
Quasi Cyclic Codes

scholarly journals New quantum codes from evaluation and matrix-product codes

2015 ◽  
Vol 36 ◽  
pp. 98-120 ◽  
Author(s):  
Carlos Galindo ◽  
Fernando Hernando ◽  
Diego Ruano
Keyword(s):  
Quantum Codes ◽  
Matrix Product ◽  
Product Codes

New quantum codes from matrix-product codes over small fields

2020 ◽  
Vol 19 (8) ◽  
Author(s):  
Hao Song ◽  
Ruihu Li ◽  
Yang Liu ◽  
Guanmin Guo
Keyword(s):  
Quantum Codes ◽  
Matrix Product ◽  
Product Codes ◽  
Small Fields

scholarly journals DECODING OF MATRIX-PRODUCT CODES

2013 ◽  
Vol 12 (04) ◽  
pp. 1250185 ◽  
Author(s):  
FERNANDO HERNANDO ◽  
DIEGO RUANO
Keyword(s):  
Error Correction ◽  
Linear Code ◽  
Minimum Distance ◽  
Matrix Product ◽  
Decoding Algorithm ◽  
Product Codes ◽  
Error Correction Capability

We propose a decoding algorithm for the (u | u + v)-construction that decodes up to half of the minimum distance of the linear code. We extend this algorithm for a class of matrix-product codes in two different ways. In some cases, one can decode beyond the error-correction capability of the code.

Construction of Quantum Codes From Matrix-Product Codes

2020 ◽  
Vol 24 (4) ◽  
pp. 706-710
Author(s):  
Meng Cao ◽  
Haoxu Wang ◽  
Jianlian Cui
Keyword(s):  
Quantum Codes ◽  
Matrix Product ◽  
Product Codes

scholarly journals Construction of New Matrix-Product Codes and Their Applications

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 164044-164050
Author(s):  
Hao Song ◽  
Ruihu Li ◽  
Junli Wang ◽  
Jingjie Lv
Keyword(s):  
Matrix Product ◽  
Product Codes

Matrix product codes with rosenbloom-tsfasman metric

2013 ◽  
Vol 33 (3) ◽  
pp. 687-700 ◽  
Author(s):  
Bocong CHEN ◽  
Liren LIN ◽  
Hongwei LIU
Keyword(s):  
Matrix Product ◽  
Product Codes

scholarly journals Matrix product codes over finite commutative Frobenius rings

2012 ◽  
Vol 71 (2) ◽  
pp. 201-227 ◽  
Author(s):  
Yun Fan ◽  
San Ling ◽  
Hongwei Liu
Keyword(s):  
Matrix Product ◽  
Product Codes ◽  
Frobenius Rings

On new quantum codes from matrix product codes

2017 ◽  
Vol 10 (4) ◽  
pp. 579-589 ◽  
Author(s):  
Xiusheng Liu ◽  
Hai Q. Dinh ◽  
Hualu Liu ◽  
Long Yu
Keyword(s):  
Quantum Codes ◽  
Matrix Product ◽  
Product Codes
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