Quasi-cyclic complementary dual codes

Autor:	Cem Güneri, Patrick Solé, Buket Özkaya
Rok vydání:	2016
Předmět:	Block code Discrete mathematics Algebra and Number Theory Applied Mathematics Concatenated error correction code General Engineering Reed–Muller code 020206 networking & telecommunications 0102 computer and information sciences 02 engineering and technology 01 natural sciences Linear code Expander code Computer Science::Other Theoretical Computer Science Dual code 010201 computation theory & mathematics Group code Computer Science::Computer Vision and Pattern Recognition QA150-272.5 Algebra 0202 electrical engineering electronic engineering information engineering Hamming code Computer Science::Formal Languages and Automata Theory Mathematics
Zdroj:	Finite Fields and Their Applications. 42:67-80
ISSN:	1071-5797
DOI:	10.1016/j.ffa.2016.07.005
Popis:	Linear complementary dual codes are linear codes that intersect with their dual trivially. Quasi-cyclic codes that are complementary dual are characterized and studied by using their concatenated structure. Some asymptotic results are derived. Hermitian linear complementary dual codes are introduced to that end and their cyclic subclass is characterized. Constructions of quasi-cyclic complementary dual codes from codes over larger alphabets are given.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75922d4dbf09b18cb5cbd8c1cb88f839 https://doi.org/10.1016/j.ffa.2016.07.005 Zobrazit plný text záznamu Full Text from ScienceDirect