Perfect Repetition Codes of Ideals of the Polynomial Ring 2 [ ] ( 1) n n F x mod x − for Error Control In Computer Applicatons

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dc.contributor.authorFanuel, Olege
dc.contributor.authorOkaka, Akinyi Colleta
dc.contributor.authorOduor, Owino Maurice
dc.date.accessioned2023-08-01T07:24:04Z
dc.date.available2023-08-01T07:24:04Z
dc.date.issued2016
dc.descriptionResearch Journal on Perfect Repetition Codes of Ideals of the Polynomial Ring 2 [ ] ( 1) n n F x mod x − for Error Control In Computer Applicatonsen_US
dc.description.abstractThe study of perfect codes has attracted a lot of interest among researchers in coding theory in view of the fact that many authors have indicated that this type of codes is rare. These codes are considered the best for theoretical and practical reasons. In this paper we demonstrate the determination of perfect codes from ideals of polynomial rings and characterize them for error control in computer applications. GAP software has been used to generate these codes and to confirm that they are indeed perfect. The Mathematical Structure of the generating polynomial ring has been fully discussed and the corresponding perfect codes have been characterized.en_US
dc.identifier.citationFanuel, O., Colleta, O. A., Oduor, O. M., & Aywa, S. (2016). Perfect repetition codes of ideals of the polynomial ring 2 [](1) nn F x mod x− for error control in computer applicatons.en_US
dc.identifier.urihttp://ir-library.kabianga.ac.ke/handle/123456789/630
dc.language.isoenen_US
dc.publisherJournal of Mathematics and Statistical Scienceen_US
dc.subjectPolynomial Ringen_US
dc.subjectIdealsen_US
dc.subjectPerfect codesen_US
dc.subjectError Controlen_US
dc.titlePerfect Repetition Codes of Ideals of the Polynomial Ring 2 [ ] ( 1) n n F x mod x − for Error Control In Computer Applicatonsen_US
dc.typeArticleen_US

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