On cyclic codes of length 8p s over Fpm + uFpm

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dc.contributor.authorRani, Saroj
dc.date.accessioned2024-07-12T20:49:18Z
dc.date.available2024-07-12T20:49:18Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractPrange and Berlekamp [1, 2] first introduced and studied cyclic codes and constacyclic codes respectively. In the theory of error-correcting codes, these codes have nice algebraic structures and can be easily encoded and decoded using linear shift registers, which explains their preferred role from the engineering perspective. Many researchers studied the algebraic structure of linear codes over various finite rings. In this paper, we establish the algebraic structure of all cyclic codes and their duals of length 8p s over the chain ring Fpm +uFpm by considering three cases: p m ? 1 (mod 8), pm ? 5 (mod 8) and p m ? 3 (mod 4). We also find out the number of codewords in each of these cyclic codes. Besides this, we list some self-dual cyclic codes of length 8p s over Fpm + uFpm. Also we determine µ-constacyclic codes length 8p s over Fpm + uFpm by establishing a one to-one correspondence between cyclic and µ -constacyclic codes.en_US
dc.identifier.citationRani, S. (2019). On cyclic codes of length 8ps over Fpm + uFpm. International Conference of Mathematical Sciences (ICMS 2019). s. 210.en_US
dc.identifier.endpage211en_US
dc.identifier.isbn978-605-2124-29-1
dc.identifier.startpage210en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12415/2153
dc.institutionauthorRani, Saroj
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciences (ICMS 2019)en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01517
dc.subjectCyclic codesen_US
dc.subjectConstacyclic codesen_US
dc.subjectDual codesen_US
dc.subjectSelf-dual codesen_US
dc.titleOn cyclic codes of length 8p s over Fpm + uFpmen_US
dc.typeArticle
dspace.entity.typePublication

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