Results 21 to 30 of about 645 (110)

Symplectic semifield planes and ℤ₄–linear codes [PDF]

open access: bronzeTransactions of the American Mathematical Society, 2003
There are lovely connections between certain characteristic 2 semifields and their associated translation planes and orthogonal spreads on the one hand, and Z 4 \mathbb {Z}_4 –linear Kerdock and Preparata codes on the other. These inter–relationships lead to the construction of large numbers of objects
William M. Kantor, Michael Williams
openalex   +2 more sources

Non-classical polar unitals in finite Dickson semifield planes [PDF]

open access: hybridJournal of Geometry, 2013
In this paper, the authors prove the existence of O'Nan configurations [\textit{M. E. O'Nan}, J. Algebra 20, 495--511 (1972; Zbl 0241.05013)] in all cases. The authors also give an alternative proof by demonstrating the invalidity of the second condition of \textit{H. Wilbrink} [Lect. Notes Pure Appl. Math.
Alice M. W. Hui   +3 more
openalex   +4 more sources

Divisible designs from semifield planes

open access: closedDiscrete Mathematics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cinzia Cerroni
openalex   +3 more sources

Estimating the efficacy and plume reach of semiochemical-baited traps on the capture of Trogoderma granarium everts. [PDF]

open access: yesPest Manag Sci
"Simulated warehouse": In this study, we take the step of testing existing and modified trap designs for Trogoderma after the release of T. granarium exclusively. This work will serve to evaluate trap efficacy, while providing a template for further attractant–kill research. The most effective trap was dome trap.
Agrafioti P   +5 more
europepmc   +2 more sources

p-primitive semifield planes [PDF]

open access: closedInternational Journal of Mathematics and Mathematical Sciences, 1992
In this article the nuclei of p‐primitive semifield planes are studied. The behavior of this class of planes under the operations of derivation, transposition and dualization is also analyzed.
Minerva Cordero
openalex   +3 more sources

On some new classes of semifield planes

open access: closed, 1993
It was shown by \textit{Y. Hiramine, M. Matsumoto} and \textit{T. Oyama} [Osaka J. Math. 24, 123-137 (1987; Zbl 0646.51006)] that with every translation plane of order \(q^ 2\) whose kernel contains \(GF(q)\) one can associate a translation plane of order \(q^ 4\) whose kernel contains \(GF(q^ 2)\). The authors investigate the semifield planes obtained
Minerva Cordero, Raúl Figueroa
openalex   +5 more sources

Primitive Semifields and Fractional Planes of order q^5

open access: greenRendiconti di Matematica e delle Sue Applicazioni, 2010
The dimension of an affine plane π of order n, relative to a subplane π0 of order m, is specified by dim_π0 π = log_m n. The exotic embeddings of a plane in another plane of the “wrong” characteristic, pioneered by H. Neumann, and systematically considered by de Resmini and her associates, yield planes with transcendental dimensions. On the other hand,
Minerva Cordero, Vikram Jha
openalex   +2 more sources

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