A New Semifield Flock

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منابع مشابه

A New Semifield Flock

Let K be a quadratic cone of PG(3, q) with vertex v. A flock F of K is a partition of K"[v] into q conics. If all planes containing the elements of the flock F share a common line, then F is called linear. Given a flock F there is a standard construction of a generalized quadrangle Q(F) associated with F ([19]), which is classical if and only if F is a linear flock. Article ID jcta.1998.2933, a...

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The six semifield planes associated with a semifield flock

In 1965 Knuth [17] noticed that a finite semifield was determined by a 3-cube array (aijk) and that any permutation of the indices would give another semifield. In this article we explain the geometrical significance of these permutations. It is known that a pair of functions (f, g) where f and g are functions from GF (q) to GF (q) with the property that f and g are linear over some subfield an...

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New Semifield Planes of order 81 ∗

A finite semifield D is a finite nonassociative ring with identity such that the set D∗ = D \ {0} is closed under the product. From any finite semifield a projective plane can be constructed. In this paper we obtain new semifield planes of order 81 by means of computational methods. These computer-assisted results yield to a complete classification (up to isotopy) of 81-element finite semifields.

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Feeding and Managing the Ewe Flock: A New Watch

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Feeding and Managing the Ewe Flock: A New Watch

The number of lambs sold per ewe mated in the breeding flock has a considerable impact on sheep operation profitability. This depends primarily on fertility, prolificacy (# of lambs), and lamb survival, mothering ability, milk production of the ewe and lamb growth rate. Optimal reproduction does vary by environment and management system – some sheep operations don’t want a lambing rate over 200...

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ژورنال

عنوان ژورنال: Journal of Combinatorial Theory, Series A

سال: 1999

ISSN: 0097-3165

DOI: 10.1006/jcta.1998.2933