On Xia's Construction of Hadamard Di erence Sets
نویسندگان
چکیده
In this paper, we present a new way of viewing Xia's construction of Hadamard diierence sets. Based on this new point of view, we give a character theoretic proof for Xia's construction. Also we point out a connection between the construction and projective three-weight codes.
منابع مشابه
Constructions of Hadamard Difference Sets
Using a spread of PG(3; p) and certain projective two-weight codes, we give a general construction of Hadamard diierence sets in groups H (Z p) 4 , where H is either the Klein 4-group or the cyclic group of order 4, and p is an odd prime. In the case p 3 (mod 4), we use an ovoidal bration of PG(3; p) to construct Hadamard diierence sets, this construction includes Xia's construction of Hadamard...
متن کاملOn Reversible Abelian Hadamard Di erence Sets
It is shown that there does not exist a reversible abelian Hadamard diierence set in
متن کاملOrr Sommerfeld Solver Using Mapped Finite Di?erence Scheme for Plane Wake Flow
Linear stability analysis of the three dimensional plane wake flow is performed using a mapped finite di?erence scheme in a domain which is doubly infinite in the cross–stream direction of wake flow. The physical domain in cross–stream direction is mapped to the computational domain using a cotangent mapping of the form y = ?cot(??). The Squire transformation [2], proposed by Squire, is also us...
متن کاملDi erentiable Selections of Set Valued Mappings With Application in Stochastic Programming
We consider set valued mappings de ned on a linear normed space with convex closed images in IRn Our aim is to construct selections which are Hadamard directionally di erentiable using some approximation of the mul tifunction The constructions suggested assume existence of a cone approxima tion given by a certain derivative of the mapping The rst one makes use of the properties of Steiner point...
متن کاملInequivalence of Skew Hadamard Difference Sets and Triple Intersection Numbers Modulo a Prime
Recently, Feng and Xiang [10] found a new construction of skew Hadamard difference sets in elementary abelian groups. In this paper, we introduce a new invariant for equivalence of skew Hadamard difference sets, namely triple intersection numbers modulo a prime, and discuss inequivalence between Feng-Xiang skew Hadamard difference sets and the Paley difference sets. As a consequence, we show th...
متن کامل