Coding theory on the m-extension of the Fibonacci p-numbers

Manjusri Basu and Bandhu Prasad

Chaos, Solitons & Fractals, 2009, vol. 42, issue 4, 2522-2530

Abstract: In this paper, we introduce a new Fibonacci Gp,m matrix for the m-extension of the Fibonacci p-numbers where p (⩾0) is integer and m (>0). Thereby, we discuss various properties of Gp,m matrix and the coding theory followed from the Gp,m matrix. In this paper, we establish the relations among the code elements for all values of p (nonnegative integer) and m(>0). We also show that the relation, among the code matrix elements for all values of p and m=1, coincides with the relation among the code matrix elements for all values of p [Basu M, Prasad B. The generalized relations among the code elements for Fibonacci coding theory. Chaos, Solitons and Fractals (2008). doi: 10.1016/j.chaos.2008.09.030]. In general, correct ability of the method increases as p increases but it is independent of m.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:4:p:2522-2530

DOI: 10.1016/j.chaos.2009.03.197

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