June 12, 2024

Representation of Polynomials Over Finite Fields With Circulants

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Abstract

Representation of polynomials over complex fields is well known. In this paper a similar representation is given for polynomials of degree less than q-1, over finite fields. The results are theorems that characterize the centralizer of the circulant of a permutation polynomial, and a formula for the calculation of the determinant of the circulant as the product of the determinants of the polynomials defined on the cosets of some multilpicative subgroup. 2000 Mathematics Subject Classification. 12E05, 16S50

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Cite This Study

Amela Muratović (Wed,) studied this question.

synapsesocial.com/papers/68e6541cb6db6435875e2a97 https://doi.org/https://doi.org/10.5644/sjm.01.1.04

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