@article{487365f4e9774b588ee4c549fc527d35,
title = "Additive G-codes over Fq and their dualities",
abstract = "We define additive G-codes over finite fields. We prove that if C is an additive G-code over Fq with duality M then its dual with respect to this duality CM is an additive G-code. We prove that if M and M′ are two dualities, then CM and CM′ are equivalent codes. Finally, we study the existence of self-dual codes for a variety of dualities and relate them to formally self-dual and linear self-dual codes.",
keywords = "Additive codes, G-codes, Self-dual codes",
author = "Dougherty, {S. T.} and C. Fern{\'a}ndez-C{\'o}rdoba",
note = "DBLP License: DBLP's bibliographic metadata records provided through http://dblp.org/ are distributed under a Creative Commons CC0 1.0 Universal Public Domain Dedication. Although the bibliographic metadata records are provided consistent with CC0 1.0 Dedication, the content described by the metadata records is not. Content may be subject to copyright, rights of privacy, rights of publicity and other restrictions. Funding Information: This work has been partially supported by the Spanish Ministerio de Ciencias, Innovaci{\'o}n y Universidades under Grant PID2019-104664GB-I00 (AEI/FEDER, UE). The first author is grateful to the Universitat Aut{\`o}noma de Barcelona where he stayed while this paper was written. Publisher Copyright: {\textcopyright} 2021 Elsevier Inc. Copyright: Copyright 2021 Elsevier B.V., All rights reserved",
year = "2021",
month = jun,
day = "1",
doi = "10.1016/j.ffa.2021.101821",
language = "English",
volume = "72",
pages = "101821",
journal = "Finite Fields and Their Applications",
issn = "1071-5797",
publisher = "Academic Press Inc.",
}