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Quasi-cyclic codes as codes over rings of matrices
- Source :
- Finite Fields and Theirs Applications, Finite Fields and Theirs Applications, 2010, 16 (2), pp.100-115
- Publication Year :
- 2010
- Publisher :
- HAL CCSD, 2010.
-
Abstract
- International audience; Quasi cyclic codes over a nite eld are viewed as cyclic codes over a non commutative ring of matrices over a nite eld. This point of view permits to generalize some known results about linear recurring sequences and to propose a new construction of some quasi cyclic codes and self dual codes.
- Subjects :
- Block code
Mathematics::General Mathematics
Linear recurrent sequences
0102 computer and information sciences
02 engineering and technology
01 natural sciences
Expander code
Theoretical Computer Science
Cyclic code
Reed–Solomon error correction
Mathematics::K-Theory and Homology
0202 electrical engineering, electronic engineering, information engineering
Self-dual codes
Rings of matrices
Engineering(all)
Mathematics
Discrete mathematics
Algebra and Number Theory
Applied Mathematics
General Engineering
Reed–Muller code
020206 networking & telecommunications
Linear code
Quasi-cyclic codes
010201 computation theory & mathematics
Group code
Hamming code
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Finite Fields and Theirs Applications, Finite Fields and Theirs Applications, 2010, 16 (2), pp.100-115
- Accession number :
- edsair.doi.dedup.....7eef5e01455cfc14788143062616aee0