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

DOI

"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.

Magma, 2.27-5

METHODOLOGICAL INFORMATION 1. Instrument- or software- specific information needed to interpret the data: This version of the package has been developped in Magma version 2.27-5. Magma is distributed by the Computational Algebra Group at the University of Sydney. Webpage of the Magma Computational Algebra System: http://magma.maths.usyd.edu.au/magma/

Identifier
DOI https://doi.org/10.34810/data1160
Metadata Access https://dataverse.csuc.cat/oai?verb=GetRecord&metadataPrefix=oai_datacite&identifier=doi:10.34810/data1160
Provenance
Creator Fernández Córdoba, Cristina (ORCID: 0000-0001-5880-144X); Torres-Martín, Adrián ORCID logo; Villanueva, Mercè ORCID logo
Publisher CORA.Repositori de Dades de Recerca
Contributor Villanueva, Mercè; Universitat Autònoma Barcelona
Publication Year 2024
Funding Reference Agencia Estatal de Investigación PID2019-104664GB-I00 ; Agencia Estatal de Investigación PID2022-137924NB-I00 ; Agència de Gestió d'Ajuts Universitaris i de Recerca 2021/SGR-00643
Rights Custom Dataset Terms; info:eu-repo/semantics/openAccess; https://dataverse.csuc.cat/api/datasets/:persistentId/versions/1.1/customlicense?persistentId=doi:10.34810/data1160
OpenAccess true
Contact Villanueva, Mercè (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Representation
Resource Type Program source code; Dataset
Format text/x-matlab; application/pdf; text/markdown; text/plain; application/pgp-signature; application/octet-stream
Size 312; 564; 447; 714; 719; 524; 912; 374; 737; 671; 1755; 835; 991; 791; 1043; 1212; 1214; 378; 309; 685; 1637; 435; 774; 1197; 481783; 5596; 8752; 5400; 30982; 6922; 113391; 14419; 107367; 15750; 22252; 2806; 68973; 14467; 140; 31562; 44631; 7203; 75982; 17417; 375; 11064; 8754; 33147; 8402
Version 1.1
Discipline Construction Engineering and Architecture; Engineering; Engineering Sciences
Spatial Coverage Barcelona, Spain