Important algebraic calculations for \(n\)-variables polynomial codes

DOI10.1016/0012-365X(85)90032-9zbMath0588.94007MaRDI QIDQ1073772

Alain Poli

Publication date: 1985

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

primitive idempotentsprincipal idealsAbelian group algebras over a finite field

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (3)

Additive semisimple multivariable codes over \(\mathbb{F}_4\) ⋮ Group algebras and coding theory ⋮ Semisimple multivariable \(\mathbb {F}_q\)-linear codes over \(\mathbb {F}_{q^l}\)

Cites Work

• Self-dual doubly circulant codes
• Résolution des systèmes d'équations algébriques
• Codes autoduaux principaux et groupe d'automorphismes de l'algèbre \(A=F_{2^r}[X_1,-,X_n/(X_1^2-1,-,X_n^2-1)\)]
• Ideaux principaux nilpoitnis de dimension maximale dans l'algebre F_q[G d'un groupe abelien fini g]
• Fast Algorithms for Partial Fraction Decomposition
• Algebraic Coding Theory
• On the theory of group codes
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