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All Journal ComTech: Computer, Mathematics and Engineering Applications
Mohammad Affaf
STKIP PGRI Bangkalan
Computer Science & IT Engineering Mathematics

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Maximality on Construction of Ternary Cross Bifix Free Code Mohammad Affaf
ComTech: Computer, Mathematics and Engineering Applications Vol. 10 No. 1 (2019): ComTech
Publisher : Bina Nusantara University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21512/comtech.v10i1.4716

Abstract

The purpose of this research was to show that ternary cross bifix free code CBFS3(2m+1) and CBFS3(2m+2) achieved the maximum for every natural number m. This research was a literature review. A cross bifix free codes was constructed by using Dyck path method which achieved the maximality, that was non-expandable on binary set sequences for appropriate length. This result is obtained by partitioning members of CBFS3(2m+1) and CBFS3(2m+2) and comparing them with the maximality of CBFS2(2m+1) and CBFS2(2m+2). For small length 3, the result also shows that the code CBFS3(3) is optimal.
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