Planar functions were introduced by Dembowski and Ostrom ([4]) to describe projective planes possessing a collineation group with particular properties. Several classes of planar functions over aâ€¦ (More)

Abstract. The definition of bent is redefined for any finite field. Our main result is a complete description of the relationship between bent polynomials and perfect non-linear functions over finiteâ€¦ (More)

Let H be a subgroup of the multiplicative group of a finite field. In this note we give a method for constructing permutation polynomials over the field using a bijective map from H to a coset of H.â€¦ (More)

Motivated by several recent results, we determine precisely when Fk(X , a)âˆ’ Fk(0, a) is a Dembowski-Ostrom polynomial, where Fk(X, a) is a Dickson polynomial of the first or second kind. As aâ€¦ (More)

The Care method is a new approach to constructing and formally verifying programs. Care has been developed in response to identiied industrial needs for a formal software development method whichâ€¦ (More)

Several authors have recently shown that a planar function over a finite field of order q must have at least (q + 1)/2 distinct values. In this note this result is extended by weakening theâ€¦ (More)

Applicable Algebra in Engineering, Communicationâ€¦

1992

This paper deals with two questions concerning permutation polynomials in several variables. Lidl and Niederreiter have considered the problem of when a sum of permutation polynomials in disjointâ€¦ (More)

Let Fq denote the finite field of q = p e elements; p a prime, e a positive integer. We use Fq to denote the non-zero elements of Fq and shall denote the quadratic multiplicative character of Fq by Î·â€¦ (More)