A new class of square order planes

On small dense arcs in Galois planes of square order

In the Galois projective plane of square order q, we show the existence of small dense (k; 4)-arcs whose points lie on two conics for q odd, and on two hyperovals for q even. We provide an explicit construction of (4 √ q− 4; 2)-arcs for q even, and we also show that they are complete as far as q6 1024. c © 2002 Elsevier Science B.V. All rights reserved.

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.

Sufficient Conditions for a New Class of Polynomial Analytic Functions of Reciprocal Order alpha

In this paper, we consider a new class of analytic functions in the unit disk using polynomials of order alpha. We give some sufficient conditions for functions belonging to this class.

A New Class of Spatial Covariance Functions Generated by Higher-order Kernels

Covariance functions and variograms play a fundamental role in exploratory analysis and statistical modelling of spatial and spatio-temporal datasets. In this paper, we construct a new class of spatial covariance functions using the Fourier transform of some higher-order kernels. Moreover, we extend this class of spatial covariance functions to the spatio-temporal setting using the idea used in...

A Class of Projective Planes