Constructions of Relative Difference Sets with Classical Parameters and Circulant Weighing Matrices

In this paper, a new family of relative difference sets with parameters (m, n, k, λ) = ((q − 1)/(q − 1), 4(q− 1), q, q/4) is constructed where q is a 2-power. The construction is based on the technique used in [2]. By a similar method, we also construct some new circulant weighing matrices of order q where q is a 2-power, d is odd and d ≥ 5. Correspondence: S.L. Ma Department of Mathematics National University of Singapore 2 Science Drive 2, Singapore 117543 Republic of Singapore E-mail: [email protected] Running Head: Relative difference sets with classical parameters