Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over \(\mathbb{F}_4\)

DOI10.1016/j.jpaa.2017.04.007zbMath1427.94113arXiv1709.05466OpenAlexW2963481139MaRDI QIDQ2403979

Edgar Martínez-Moro, A. Piñera-Nicolás, Ignacio F. Rúa

Publication date: 12 September 2017

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05466

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Theory of error-correcting codes and error-detecting codes (94B99) Polynomials and finite commutative rings (13M10) Quantum coding (general) (81P70)

Related Items (3)

A transform approach to polycyclic and serial codes over rings ⋮ Codes over affine algebras with a finite commutative chain coefficient ring ⋮ On the structure of repeated-root polycyclic codes over local rings

Uses Software

• SageMath
• Code Tables

Cites Work

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• Cyclic and Negacyclic Codes Over Finite Chain Rings
• On the Hamming distance of linear codes over a finite chain ring
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• Canonical generating system of a monic polynomial ideal over a commutative Artinian chain ring
• Multivariable Codes Over Finite Chain Rings: Serial Codes
• On repeated-root cyclic codes
• Additive cyclic codes over \(\mathbb F_4\)

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