Results 61 to 70 of about 109 (103)

Enumerating semifields

Electronic Notes in Discrete Mathematics, 2013
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Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]

Res Math Sci
Fink A, Giansiracusa J, Giansiracusa N, Mundinger J.   +3 more
europepmc   +1 more source

Semifields with generator

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009
E.M. Vechtomov, A.V. Cheraneva
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Semifield Metrizability

Semifield Metrizability
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Blocking sets and semifields

Journal of Combinatorial Theory - Series A, 2006
In the paper under review the author shows a relationship between semifield spreads of \({\text PG}(2 t - 1, q)\) and \(\text{GF}(s)\)-linear sets of rank \(n t\) with \(q = s^n\). For \(t = 2\), the indicator set of a semifield spread of \({\text PG}(3, q)\) defines a Rédei linear blocking set of \({\text PG}(2, q^2)\), disjoint from a Baer subline of
Guglielmo Lunardon
exaly   +4 more sources

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On the Sporadic Semifield Flock

Designs, Codes and Cryptography, 2003
Let \(Q(4,q)\) denote the parabolic quadric of \(\text{ PG}(4,q)\). An ovoid of \(Q(4,q)\) is a set of \(q^2+1\) points of \(Q(4,q)\) such that no two of them are collinear (on a line of \(Q(4,q)\)). A BLT-set \(B\) is a set of \(q+1\) points of \(Q(4,q)\) such that no point of \(Q(4,q)\) is collinear with more than two points of \(B\).
Ilaria Cardinali, Olga Polverino, Rocco Trombetti   +2 more
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Infinite families of new semifields

Combinatorica, 2009
The authors construct six new infinite families of finite semifields, all of which are two-dimensional over their left nuclei. The semifields are given by providing spread sets of linear mappings. It is shown that semifields in different families are never isotopic. The classification of isotopy classes within a given family is still ongoing.
Gary L. Ebert, Giuseppe Marino 0002, Olga Polverino, Rocco Trombetti   +3 more
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Algebraic extensions of semifields

Russian Mathematical Surveys, 2004
A semifield is a semiring \((D,+,\bullet)\) such that each nonzero element is invertible with repect to multiplication and is not invertible with respect to addition. In this paper, the author examines the possibility of extending a semifield by a root of an algebraic equation. Let \(D\) denote a semifield. Then \(D\) is called idempotent (cancellable)
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Semifields and their properties

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vechtomov, E. M., Cheraneva, A. V.
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Simplectic spreads and finite semifields

Designs, Codes and Cryptography, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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