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Alternant and BCH codes over certain rings
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2003-01-01)
Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate ...
Alternant and BCH codes over certain rings
(Springer, 2003-01-01)
Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x(s) - 1 over the unit group of an appropriate ...
Alternant and BCH codes over certain rings
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2003-01-01)
Alternant codes over arbitrary finite commutative local rings with identity are constructed in terms of parity-check matrices. The derivation is based on the factorization of x s - 1 over the unit group of an appropriate ...
Alternant and BCH codes over certain rings
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2003)
Alternant and BCH codes over certain rings
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2014)
On self-dual normal bases
(Elsevier Science BvAmsterdamHolanda, 2006)
Extensions Cubiques à Base Normale
(, 1989)
Linear codes over finite local rings in a chain
(2012)
For a positive integer $t$, let \begin{equation*} \begin{array}{ccccccccc} (\mathcal{A}_{0},\mathcal{M}_{0}) & \subseteq & (\mathcal{A}_{1},\mathcal{M}_{1}) & \subseteq & & \subseteq & (\mathcal{A}_{t-1},\mathcal{M}_{t-1}) ...