CONSTACYCLIC CODES OVER LIPSCHITZ INTEGERS

Guzeltepe, Murat; Cetinel, Gokcen; Sazak, Nukhet

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dc.contributor.authors	Güzeltepe, M; Çetinel, G; Sazak, N
dc.date.accessioned	2024-02-23T11:45:26Z
dc.date.available	2024-02-23T11:45:26Z
dc.date.issued	2023
dc.identifier.issn	0025-5165
dc.identifier.uri	http://dx.doi.org/10.57016/MV-etK5277r
dc.identifier.uri	https://hdl.handle.net/20.500.12619/102314
dc.description	Bu yayın 06.11.1981 tarihli ve 17506 sayılı Resmî Gazete’de yayımlanan 2547 sayılı Yükseköğretim Kanunu’nun 4/c, 12/c, 42/c ve 42/d maddelerine dayalı 12/12/2019 tarih, 543 sayılı ve 05 numaralı Üniversite Senato Kararı ile hazırlanan Sakarya Üniversitesi Açık Bilim ve Açık Akademik Arşiv Yönergesi gereğince açık akademik arşiv sistemine açık erişim olarak yüklenmiştir.
dc.description.abstract	In this paper, the goal is to obtain constacyclic codes over Lipschitz integers in terms of Lipschitz metric. A decoding procedure is proposed for these codes, some of which have been shown to be perfect codes. Performance of constacyclic codes over Lipschitz integers is investigated over Additive White Gaussian Channel (AWGN) by means of symbol error rates and coding gain. According to the achieved results, these codes can be used in coded modulation schemes based on Quadrature Amplitude Modulation (QAM)-type constellations. Furthermore, it is shown that the Lipschitz metric is more suitable than Hamming metric and Lee metric for QAM type two dimensional constellations.
dc.language	English
dc.language.iso	eng
dc.publisher	MATH SOC SERBIA-DRUSTVO MATEMATICARA SRBIJE
dc.relation.isversionof	10.57016/MV-etK5277r
dc.subject	Block code
dc.subject	QAM signal constellations
dc.subject	Lipschitz metric
dc.title	CONSTACYCLIC CODES OVER LIPSCHITZ INTEGERS
dc.type	Article
dc.identifier.volume	75
dc.identifier.startpage	204
dc.identifier.endpage	215
dc.relation.journal	MATEMATICKI VESNIK
dc.identifier.issue	3
dc.identifier.doi	10.57016/MV-etK5277r
dc.identifier.eissn	2406-0682
dc.contributor.author	Guzeltepe, Murat
dc.contributor.author	Cetinel, Gokcen
dc.contributor.author	Sazak, Nukhet
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights.openaccessdesignations	gold