Maximality on Construction of Ternary Cross Bifix Free Code

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 n...

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Bibliographic Details
Main Author: Mohammad Affaf
Format: Article
Language:English
Published: Bina Nusantara University 2019-06-01
Series:ComTech
Subjects:
Online Access:https://journal.binus.ac.id/index.php/comtech/article/view/4716
Description
Summary: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.
ISSN:2087-1244
2476-907X