Quasi-Hadamard Full Propelinear Codes

In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes. Some structural properties of these codes are studied and examples are provided.

Bibliographic Details
Authors: Armario Sampalo, José Andrés, Bailera, Iván, Borges, Joachim, Rifá, Josep
Format: article
Status:Versión enviada para evaluación y publicación
Publication Date:2018
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/87427
Online Access:https://hdl.handle.net/11441/87427
https://doi.org/10.1007/s11786-018-0378-9
Access Level:Open access
Keyword:Cocycle
Quasi-orthogonal
Quasi-Hadamard groups
Propelinear codes
Description
Summary:In this paper, we give a characterization of quasi-Hadamard groups in terms of propelinear codes. We define a new class of codes that we call quasi-Hadamard full propelinear codes. Some structural properties of these codes are studied and examples are provided.