Coding theory based on balancing polynomials

Prasad, Bandhu

doi:10.2478/candc-2021-0017

Abstract

In this paper, we introduce a $Q_{2}^{n} (x)$ Q_2^n\left( x \right) matrix, whose elements are balancing polynomials, and develop a new coding and decoding method following from the $Q_{2}^{n} (x)$ Q_2^n\left( x \right) matrix. We establish the relations between the code matrix elements, error detection and correction for this coding theory.

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Coding theory based on balancing polynomials

Abstract

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