Rank Distance Bicodes and their Generalization
W. B. Vasantha Kandasamy, Florentin Smarandache, N.Suresh Babu,, R.S.Selvaraj
TL;DR
This paper introduces new classes of rank distance codes and bicodes, including fuzzy and m-codes, analyzing their properties and potential applications in coding theory.
Contribution
It presents novel classes of rank distance codes and bicodes, extending existing concepts with fuzzy and m-code variants and exploring their properties and applications.
Findings
Introduction of fuzzy RD codes and bicodes
Analysis of m-covering radius for rank distance m-codes
Potential applications of new code classes
Abstract
This book has four chapters. In chapter one we just recall the notion of RD codes, MRD codes, circulant rank codes and constant rank codes and describe their properties. In chapter two we introduce few new classes of codes and study some of their properties. In this chapter we introduce the notion of fuzzy RD codes and fuzzy RD bicodes. Rank distance m-codes are introduced in chapter three and the property of m-covering radius is analysed. Chapter four indicates some applications of these new classes of codes.
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Taxonomy
TopicsCoding theory and cryptography · graph theory and CDMA systems · Cooperative Communication and Network Coding