On repeated-root multivariable codes over a finite chain ring

DOI10.1007/s10623-007-9114-1zbMath1196.94088OpenAlexW2004879985MaRDI QIDQ1009178

Ignacio F. Rúa, Edgar Martínez-Moro

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9114-1

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Combinatorial codes (94B25) Polynomials and finite commutative rings (13M10)

Related Items (11)

On a class of repeated-root monomial-like abelian codes ⋮ Additive semisimple multivariable codes over \(\mathbb{F}_4\) ⋮ Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over \(\mathbb{F}_4\) ⋮ Group algebras and coding theory ⋮ Cyclic codes of length \(2p^n\) over finite chain rings ⋮ Codes over affine algebras with a finite commutative chain coefficient ring ⋮ Polycyclic codes over \(\mathbb{F}_{p^m} [u / \langle u^2 \rangle \): classification, Hamming distance, and annihilators] ⋮ Semisimple multivariable \(\mathbb {F}_q\)-linear codes over \(\mathbb {F}_{q^l}\) ⋮ Polycyclic codes as invariant subspaces ⋮ Left dihedral codes over finite chain rings ⋮ On \(\mathbb{Z}_2\mathbb{Z}_4\)-additive polycyclic codes and their Gray images

Cites Work

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• Generators and weights of polynomial codes
• Linear recurring arrays, linear systems and multidimensional cyclic codes over quasi-Frobenius rings
• Repeated-root cyclic and negacyclic codes over a finite chain ring
• A class of low-rate nonlinear binary codes
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Canonical generating system of a monic polynomial ideal over a commutative Artinian chain ring
• Multivariable Codes Over Finite Chain Rings: Serial Codes

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