Work

Enumeration of certain permutation group polynomials

Year: 2026

Type: preprint

Abstract: We construct a new family of permutation group polynomials over finite fields of odd characteristic and explicitly provide its companion. Moreover, we precisely determine the number of permutation group polynomials of this form and those that are equivalent to this new family. In addition, we completely solve the problem of enumerating permutation group polynomials of the various forms presented in Hasan and Kumar (2026), as well as permutation group polynomials which are equivalent to these families.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.28118

Authors: Hasan, Sartaj Ul, Kaur, Ramandeep, Kumar, Hridesh

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204814303

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