Constructions of semi-regular relative difference sets

Citation
Kh. Leung et al., Constructions of semi-regular relative difference sets, FINITE F T, 7(3), 2001, pp. 397-414
Citations number
9
Categorie Soggetti
Mathematics
Journal title
FINITE FIELDS AND THEIR APPLICATIONS
ISSN journal
10715797 → ACNP
Volume
7
Issue
3
Year of publication
2001
Pages
397 - 414
Database
ISI
SICI code
1071-5797(200107)7:3<397:COSRDS>2.0.ZU;2-5
Abstract
J. A. Davis, J. Jedwab, and M. Mowbray (1998, Des. Cones 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 secon d construction should be viewed as an extension of the first. Furthermore, we generalize the second construction to obtain new RDSs. (C) 2001 Academic Press.