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Konstruksi Kode Linear Biner Optimal Kuat Berjarak Minimum 13 Dan 15

dc.contributor.advisorGuritman, Sugi
dc.contributor.advisorAliatiningtyas, Nur
dc.contributor.authorHendrawan
dc.date.accessioned2012-09-18T07:08:50Z
dc.date.available2012-09-18T07:08:50Z
dc.date.issued2012
dc.identifier.urihttp://repository.ipb.ac.id/handle/123456789/57313
dc.description.abstractA linear binary code of length n over is defined as subspace of . A code has three parameters that attached to it, namely length, dimension, and minimum distance. A code with length n, dimension k and minimum distance d is often called [n, k, d]-code. The main problem in algebra coding theory is optimizing one of parameters n, k and d. Given two that others were known. Based on Gilbert-Varshamov bound, if a [n, k, d]-code is exist and the code can not be expanded, we call it strongly optimal code. In this thesis, we construct strongly optimal code with minimum distance of 13 and 15. In constructing the code, we created a theorem and algorithm based on Gilbert-Varshamov bound, then we implement the algorithm to MAPLE programming language. Because of computational limitations, the program can only construct up to k = 9 for d = 13 and d = 15.en
dc.subjectbinary linear codesen
dc.subjectGilbert-Varshamov bounden
dc.subjectstrongly optimal codesen
dc.titleThe Construction of Strongly Optimal Linear Binary Codes with Minimum Distance of 13 and 15en
dc.titleKonstruksi Kode Linear Biner Optimal Kuat Berjarak Minimum 13 Dan 15


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