Monomial codes seen as invariant subspaces

DOI10.1515/math-2017-0093zbMath1418.94084OpenAlexW2746980166MaRDI QIDQ2406589

M. Dolors Magret, Laurence Emilie Um, Maria Isabel García-Planas

Publication date: 5 October 2017

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

Full work available at URL: https://doi.org/10.1515/math-2017-0093

zbMATH Keywords

invariant subspacesmonomial codes

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Cyclic codes (94B15)

Related Items (3)

Partitions, Diophantine equations, and control systems ⋮ On the algebraic structure of \((M, \sigma, \delta)\)-skew codes ⋮ On the regulator problem for linear systems over rings and algebras

Uses Software

• McEliece

Cites Work

• Unnamed Item
• Constacyclic codes as invariant subspaces
• A generalization of the BCH bound for cyclic codes, including the Hartmann-Tzeng bound
• The hyperinvariant subspace lattice of a linear transformation
• Characteristic and hyperinvariant subspaces over the field \(\mathrm{GF}(2)\)
• A new lower bound for the minimum distance of a cyclic code

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