ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE

DOI10.1017/S1446788720000178zbMath1502.12004arXiv1910.09653OpenAlexW3025790042MaRDI QIDQ5067207

John Sheekey, Geertrui Van de Voorde, José Felipe Voloch

Publication date: 1 April 2022

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.09653

zbMATH Keywords

tracefield extensionlinear setPN function

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Combinatorial structures in finite projective spaces (51E20) Non-Desarguesian affine and projective planes (51A35)

Cites Work

• Unnamed Item
• Algebraic function fields and codes
• Linear sets in finite projective spaces
• A linear set view on KM-arcs
• A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields
• A geometric construction of finite semifields
• Linear \((q+1)\)-fold blocking sets in \(\text{PG} (2,q^4)\)
• Linear \(k\)-blocking sets
• On a conjecture on planar polynomials of the form \(X(\mathrm{Tr}_n(X)-uX)\)
• The BEL-rank of finite semifields
• Planarity of mappings \(x(\mathrm{Tr}(x)-\frac{\alpha}{2}x)\) on finite fields
• Field reduction and linear sets in finite geometry
• Generators and irreducible polynomials over finite fields
• Distribution of irreducible polynomials of small degrees over finite fields
• Irreducible polynomials with several prescribed coefficients

This page was built for publication: ON THE PRODUCT OF ELEMENTS WITH PRESCRIBED TRACE