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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.author Fanuel, Olege
dc.contributor.author Okaka, Akinyi Colleta
dc.contributor.author Oduor, Owino Maurice
dc.date.accessioned 2023-08-01T07:24:04Z
dc.date.available 2023-08-01T07:24:04Z
dc.date.issued 2016
dc.identifier.citation Fanuel, 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.uri http://ir-library.kabianga.ac.ke/handle/123456789/630
dc.description Research Journal on Perfect Repetition Codes of Ideals of the Polynomial Ring 2 [ ] ( 1) n n F x mod x − for Error Control In Computer Applicatons en_US
dc.description.abstract The 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.language.iso en en_US
dc.publisher Journal of Mathematics and Statistical Science en_US
dc.subject Polynomial Ring en_US
dc.subject Ideals en_US
dc.subject Perfect codes en_US
dc.subject Error Control en_US
dc.title Perfect Repetition Codes of Ideals of the Polynomial Ring 2 [ ] ( 1) n n F x mod x − for Error Control In Computer Applicatons en_US
dc.type Article en_US


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