Linear Codes Over the Integer Residue Ring Z/p^s

"Z/p^s-Additive Codes" is a package that generalizes the functionality for linear codes over Z/4 in Magma (see [1]) to linear codes over Z/p^s with p prime. Specifically, there are functions to construct some families of these codes, functions related to generalized Gray maps, information...

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Detalles Bibliográficos
Autores: Fernández Córdoba, Cristina, Torres-Martín, Adrián, Villanueva, Mercè
Tipo de recurso: conjunto de datos
Fecha de publicación:2024
País:España
Institución:Consorci de Serveis Universitaris de Catalunya (CSUC)
Repositorio:CORA.Repositori de Dades de Recerca
OAI Identifier:oai:dnet:cora.rdr____::392ef474f16dc33e337618c3f42bc889
Acceso en línea:https://doi.org/10.34810/DATA1160
Access Level:acceso abierto
Palabra clave:Computer and Information Science
Engineering
Magma
Software
Zp^s-additive codes
Zp^s-linear codes
Gray map
Descripción
Sumario:"Z/p^s-Additive Codes" is a package that generalizes the functionality for linear codes over Z/4 in Magma (see [1]) to linear codes over Z/p^s with p prime. Specifically, there are functions to construct some families of these codes, functions related to generalized Gray maps, information sets, the process of encoding, and decoding using permutation decoding, among others. The "Z/p^s-Additive Codes" package consists of five files written in the Magma language. Please, send your bug reports to Combinatorics, Coding and Security Group (CCSG) at support.ccsg@uab.cat or if it is a Magma problem to magma-trouble (magma@maths.usyd.edu.au). The "Z/p^s-Additive Codes" package has been written by several assistant developers (supervised by Mercè Villanueva) as a support for some research projects on Z/p^s-linear codes developed by the Combinatorics, Coding and Security Group (CCSG) within the Department of Information and Communications Engineering (dEIC) at the Autonomous University of Barcelona (UAB). This version of the package has been developped in Magma version 2.27-5.