On the Hughes-Kleinfeld and Knuth's semifields two-dimensional over a weak nucleus

DOI10.1007/s10623-007-9061-xzbMath1123.51009OpenAlexW1965459688MaRDI QIDQ2384031

Michel Lavrauw, Simeon Ball

Publication date: 20 September 2007

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-007-9061-x

zbMATH Keywords

Knuth semifieldsFinite semifieldHughes-Kleinfeld semifieldIsotopismWeak nucleus

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Semifields (12K10) Nonassociative division algebras (17A35)

Related Items (8)

\(S_3\) invariants of finite dimensional real division algebras ⋮ Finite semifields: A brief history and current directions ⋮ The BEL-rank of finite semifields ⋮ Frobenius algebra with relaxed associativity constraint ⋮ Some recent directions in finite semifields ⋮ Semifields antiisomorphic to themselves ⋮ Finite semifields with a large nucleus and higher secant varieties to Segre varieties ⋮ A historical perspective of the theory of isotopisms

Cites Work

• Unnamed Item
• Unnamed Item
• Commutative semifields and symplectic spreads.
• A survey of finite semifields
• The six semifield planes associated with a semifield flock
• Finite semifields and projective planes
• Seminuclear Extensions of Galois Fields

This page was built for publication: On the Hughes-Kleinfeld and Knuth's semifields two-dimensional over a weak nucleus