Symplectic 4-dimensional semifields of order \(8^4\) and \(9^4\)

DOI10.1007/s10623-023-01183-yOpenAlexW4319264732MaRDI QIDQ2701502

Michel Lavrauw, John Sheekey

Publication date: 28 April 2023

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

Full work available at URL: https://arxiv.org/abs/2205.08995

zbMATH Keywords

Veronese varietysymplecticsemifieldcommutative

Mathematics Subject Classification ID

Spreads and packing problems in finite geometry (51E23) Semifields (12K10) Polar geometry, symplectic spaces, orthogonal spaces (51A50) Non-Desarguesian affine and projective planes (51A35)

Uses Software

• GAP
• FinInG

Cites Work

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• Symplectic semifield spreads of \(\mathrm{PG}(5,q)\) and the Veronese surface
• Determination of division algebras with 243 elements
• On the isotopism classes of finite semifields
• Semifield planes of order 81
• On the classification of semifield flocks.
• Commutative semifields and symplectic spreads.
• Classification of 8-dimensional rank two commutative semifields
• On symplectic semifield spreads of \(\mathrm{PG}(5,q^{2})\), \(q\) odd
• On isotopisms and strong isotopisms of commutative presemifields
• On equivalence of maximum additive symmetric rank-distance codes
• Classification of semifields of order 64
• Finite semifields and projective planes
• On symplectic semifield spreads of \(\mathrm{PG}(5,q^2)\), \(q\) even
• Sublines of prime order contained in the set of internal points of a conic
• Error-correcting linear codes. Classification by isometry and applications. With CD-ROM
• New advances in the computational exploration of semifields
• Techniques for Enumerating Veblen-Wedderburn Systems
• Finite semifields with 7⁴elements
• Symplectic semifield spreads of PG(5, q^t), q even

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