Perfect Mannheim, Lipschitz and Hurwitz weight codes

Güzeltepe, Murat

dc.contributor.authors	Guzeltepe, M; Heden, O
dc.date.accessioned	2020-01-17T08:21:38Z
dc.date.available	2020-01-17T08:21:38Z
dc.date.issued	2014
dc.identifier.citation	Guzeltepe, M; Heden, O (2014). Perfect Mannheim, Lipschitz and Hurwitz weight codes. MATHEMATICAL COMMUNICATIONS, 19, 276-253
dc.identifier.issn	1331-0623
dc.identifier.uri	https://hdl.handle.net/20.500.12619/6019
dc.description.abstract	The set of residue classes modulo an element pi in the rings of Gaussian integers, Lipschitz integers and Hurwitz integers, respectively, is used as alphabets to form the words of error correcting codes. An error occurs as the addition of an element in a set E to the letter in one of the positions of a word. If epsilon is a group of units in the original rings, then we obtain the Mannheim, Lipschitz and Hurwitz metrics, respectively. Some new perfect 1-error-correcting codes in these metrics are constructed. The existence of perfect 2-error-correcting codes is investigated by computer search.
dc.language	English
dc.publisher	UNIV OSIJEK, DEPT MATHEMATICS
dc.subject	block codes; Lipschitz distance; Mannheim distance; perfect code
dc.title	Perfect Mannheim, Lipschitz and Hurwitz weight codes
dc.type	Article
dc.identifier.volume	19
dc.identifier.startpage	253
dc.identifier.endpage	276
dc.contributor.department	Sakarya Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü
dc.contributor.saüauthor	Güzeltepe, Murat
dc.relation.journal	MATHEMATICAL COMMUNICATIONS
dc.identifier.wos	WOS:000345431400004
dc.contributor.author	Güzeltepe, Murat