Constructions of Semi-regular Relative Difference Sets

Authors:
Ka Hin Leung;San Ling;Siu Lun Ma
Affiliations:
Department of Mathematics, National University of Singapore, Singapore, 117543f1matlkh@nus.edu.sgf1f2matlings@nus.edu.sgf2f3matmasl@nus.edu.sgf3;Department of Mathematics, National University of Singapore, Singapore, 117543f1matlkh@nus.edu.sgf1f2matlings@nus.edu.sgf2f3matmasl@nus.edu.sgf3;Department of Mathematics, National University of Singapore, Singapore, 117543f1matlkh@nus.edu.sgf1f2matlings@nus.edu.sgf2f3matmasl@nus.edu.sgf3
Venue:
Finite Fields and Their Applications
Year:
2001

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Abstract

J. A. Davis, J. Jedwab, and M. Mowbray (1998, Des. Codes Cryptogr.13, 131-146) gave two new constructions for semi-regular relative difference sets (RDSs). They asked if the two constructions could be unified. In this paper, we show that the two constructions are closely related. In fact, the second construction should be viewed as an extension of the first. Furthermore, we generalize the second construction to obtain new RDSs.