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Enumeration of certain permutation group polynomials — arXiv:2608.28118

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.28118
License (as archived): CC0-1.0
Archived: 2026-10-17T11:23:06.233Z
SHA-256 of the archived text: 91620da90a022b4b77ea4ae4739479879a20e8965c37e1f8c072568da8a5ae57
Stable URL of this page: https://metraipolis.com/documento/dc_2e2bf44163ea

How to cite

Enumeration of certain permutation group polynomials — arXiv:2608.28118 — arXiv (en), https://arxiv.org/abs/2608.28118 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2e2bf44163ea (Metraipolis archive dc_2e2bf44163ea, sha256 91620da90a022b4b77ea4ae4739479879a20e8965c37e1f8c072568da8a5ae57)

BibTeX

@misc{dc2e2bf44163ea,
  title = {Enumeration of certain permutation group polynomials — arXiv:2608.28118},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.28118},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2e2bf44163ea; sha256 91620da90a022b4b77ea4ae4739479879a20e8965c37e1f8c072568da8a5ae57},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.28118. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-08-31 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2608.28118 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T11:06:51.769Z dalla pagina https://arxiv.org/catchup/math.CO/2026-08-31?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).