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September 18, 2025Journal of Discrete Mathematical Sciences and Cryptography

Some new constructions of irreducible polynomials using composition of polynomials over finite fields

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Authors

BSBalbir SinghNDNeetu DhimanSGShalini Gupta

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Overview

This work explores polynomial composition techniques to generate irreducible polynomials in finite fields, indicating their significance in cryptography and coding theory.

Key Points

  • New methods are introduced to construct irreducible polynomials of degree 6n over finite fields.
  • The study emphasizes the role of irreducible polynomials in coding theory and cryptography.
  • The approach includes generating polynomials of degree p2n through polynomial composition under specific constraints.
  • These findings may enhance techniques used in fields reliant on finite field applications.

Cite This Study

Singh et al. (2025) studied this question.

synapsesocial.com/papers/68d462c131b076d99fa61d36https://doi.org/10.47974/jdmsc-2308
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