Bent functions and line ovals

DOI10.1016/j.ffa.2017.06.002zbMath1401.51005arXiv1609.03138OpenAlexW3100794440MaRDI QIDQ2401959

Kanat S. Abdukhalikov

Publication date: 5 September 2017

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

Full work available at URL: https://arxiv.org/abs/1609.03138

zbMATH Keywords

spreadsbent functionsovalsline ovalsNiho bent functionsquasi eldssemi elds

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Cryptography (94A60) Spreads and packing problems in finite geometry (51E23) Blocking sets, ovals, (k)-arcs (51E21) Semifields (12K10)

Related Items

Relation between o-equivalence and EA-equivalence for Niho bent functions, Hyperbent functions from hyperovals, Hyperovals and bent functions, Vandermonde sets, hyperovals and Niho bent functions, Extended cyclic codes, maximal arcs and ovoids, Equivalence classes of Niho bent functions, Short description of the Lunelli-Sce hyperoval and its automorphism group, Polar coordinates view on KM-arcs

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bent functions linear on elements of some classical spreads and presemifields spreads
• On Dillon's class \(H\) of bent functions, Niho bent functions and o-polynomials
• Four decades of research on bent functions
• Quasifields of symplectic translation planes
• Symplectic groups, symmetric designs, and line ovals
• On ``bent functions
• The Magma algebra system. I: The user language
• Commutative semifields and symplectic spreads.
• Hyperovals in Desarguesian planes: An update
• An oval partition of the central units of certain semifield planes
• Symplectic spreads, planar functions, and mutually unbiased bases
• Finite semifields and projective planes
• Construction of bent functions via Niho power functions
• Niho Bent Functions and Subiaco Hyperovals
• Univariate Niho Bent Functions From o-Polynomials
• Further Results on Niho Bent Functions
• Bent functions from spreads
• Finite Fourier series and ovals in PG(2, 2^h)
• Bent Functions With $2^r$ Niho Exponents
• Symplectic semifield planes and ℤ₄–linear codes
• Symplectic translation planes and line ovals
• Bent Functions, Spreads, and o-Polynomials