Constructions of relative difference sets with classical parameters and circulant weighing matrices

Authors:
Ka Hin Leung;Siu Lun Ma;Bernhard Schmidt
Affiliations:
Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Republic of Singapore;Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Republic of Singapore;Mathematisches Institut, Universität Augsburg, Unversitäitsstraße 15, 86135 Augsburg, Germany
Venue:
Journal of Combinatorial Theory Series A
Year:
2002

Citing 3
Cited 4

Design theory

Design theory
Finite fields

Finite fields
Cyclic relative difference sets with classical parameters

Journal of Combinatorial Theory Series A

Symmetric Weighing Matrices Constructed using Group Matrices

Designs, Codes and Cryptography
Circulant weighing matrices of weight 22t

Designs, Codes and Cryptography
Finiteness of circulant weighing matrices of fixed weight

Journal of Combinatorial Theory Series A
Circulant weighing matrices whose order and weight are products of powers of 2 and 3

Journal of Combinatorial Theory Series A

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Abstract

In this paper, a new family of relative difference sets with parameters (m, n, k, λ) = ((q7 -1)/(q - 1),4(q - 1),q6,q5/4) 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 qd-1 where q is a 2-power, d is odd and d ≥ 5.