On the dual of the dual hyperoval from APN function \(f(x)=x^3+\mathrm{Tr}(x^9)\)

DOI10.1016/j.ffa.2011.07.009zbMath1261.51002OpenAlexW50086373MaRDI QIDQ661991

Hiroaki Taniguchi

Publication date: 11 February 2012

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2011.07.009

zbMATH Keywords

dual hyperovalquadratic APN function

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Blocking sets, ovals, (k)-arcs (51E21) Combinatorial structures in finite projective spaces (51E20) Incidence structures embeddable into projective geometries (51A45)

Related Items (3)

Dimensional Dual Hyperovals—An Updated Survey ⋮ Dimensional dual hyperovals and APN functions with translation groups ⋮ Distance regular graphs arising from dimensional dual hyperovals

Cites Work

• Constructing new APN functions from known ones
• On the duals of certain \(d\)-dimensional dual hyperovals in \(\mathrm{PG}(2d+1,2)\)
• A family of \(d\)-dimensional dual hyperovals in \(PG(2d+1,2)\)
• Flag-transitive extensions of dual affine spaces
• On a family of dual hyperovals over GF(\(q\)) with \(q\) even
• The six semifield planes associated with a semifield flock
• On \(d\)-dimensional dual hyperovals
• On an isomorphism problem of some dual hyperovals in \(\mathrm{PG} (2 d + 1, q )\) with \(q\) even
• Finite semifields and projective planes
• On dimensional dual hyperovals \(S^{d+1}_{\sigma, \phi}\)
• Notes on APN functions, semibiplanes and dimensional dual hyperovals
• On quadratic APN functions and dimensional dual hyperovals

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