Infinite families of 3‐designs from APN functions

DOI10.1002/jcd.21685arXiv1904.04071OpenAlexW2987248294WikidataQ126826589 ScholiaQ126826589MaRDI QIDQ6185552

No author found.

Publication date: 29 January 2024

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.04071

zbMATH Keywords

linear code\(t\)-designAPN functionthe general affine group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear codes (general theory) (94B05) Blocking sets, ovals, (k)-arcs (51E21) Special polynomials in general fields (12E10)

Related Items

Infinite families of 3-designs from o-polynomials ⋮ Infinite families of \(t\)-designs from the binomial \(x^4 +x^3\) over \(\mathrm{GF}(2^n)\) ⋮ The projective general linear group \(\mathrm{PGL}(2,2^m)\) and linear codes of length \(2^m+1\) ⋮ Combinatorial \(t\)-designs from quadratic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(x^{q+1}+ax+b\)
• New cyclic difference sets with Singer parameters
• On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials
• A family of skew Hadamard difference sets
• A new family of 4-designs
• Multiplicative difference sets via additive characters
• Infinite families of 2-designs and 3-designs from linear codes
• \(X^{2^l+1}+x+a\) and related affine polynomials over \(\mathrm{GF}(2^k\))
• On the equation \(x^{2^l+1}+x+a=0\) over \(\mathrm{GF}(2^k)\)
• Bent Functions
• On the solution of algebraic equations over finite fields