Multiplicative structure and Hecke rings of generator matrices for codes over quotient rings of Euclidean domains

DOI10.3390/math5040082zbMath1401.94216OpenAlexW2774114798MaRDI QIDQ1649079

Hajime Matsui

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math5040082

zbMATH Keywords

Hecke algebrasquasi-cyclic codesHermite normal formEuclidean divisionerror-correcting codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Cyclic codes (94B15)

Cites Work

• Modular and \(p\)-adic cyclic codes
• On generator matrices and parity check matrices of generalized integer codes
• On generator and parity-check polynomial matrices of generalized quasi-cyclic codes
• Structure and performance of generalized quasi-cyclic codes
• On the algebraic structure of quasi-cyclic codes .I. Finite fields
• Systematic encoding via Grobner bases for a class of algebraic-geometric Goppa codes
• Algebraic structure of quasicyclic codes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Multiplicative structure and Hecke rings of generator matrices for codes over quotient rings of Euclidean domains