✦ LIBER ✦

Constructions of Semi-regular Relative Difference Sets

✍ Scribed by Ka Hin Leung; San Ling; Siu Lun Ma

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 358 KB
Volume: 7
Category: Article
ISSN: 1071-5797
DOI: 10.1006/ffta.2000.0318

No coin nor oath required. For personal study only.

✦ Synopsis

gave two new constructions for semi-regular relative di!erence sets (RDSs). They asked if the two constructions could be uni"ed. 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 "rst. Furthermore, we generalize the second construction to obtain new RDSs.

📜 SIMILAR VOLUMES

Twisted product of cocycles and factoriz

Twisted product of cocycles and factorization of semi-regular relative difference sets

✍ Yu Qing Chen 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 152 KB

## Abstract In this article, we introduce what we call twisted Kronecker products of cocycles of finite groups and show that the twisted Kronecker product of two cocycles is a Hadamard cocycle if and only if the two cocycles themselves are Hadamard cocycles. This enables us to generalize some known

Constructions of Hadamard Difference Set

Constructions of Hadamard Difference Sets

✍ Richard M. Wilson; Qing Xiang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 439 KB

Constructions of Relative Difference Set

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

✍ Ka Hin Leung; Siu Lun Ma; Bernhard Schmidt 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 173 KB

In this paper, a new family of relative difference sets with parameters ðm; n; k; lÞ ¼ ððq 7 À 1Þ=ðq À 1Þ; 4ðq À 1Þ; q 6 ; q 5 =4Þ 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

Constructions of Low Rank Relative Diffe

Constructions of Low Rank Relative Difference Sets in 2-Groups Using Galois Rings

✍ Qing Xiang; James A. Davis 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 167 KB

In this paper, we "rst determine the exact values of s(2, t), a function de"ned by X.-D. Hou [preprint], which depends on the structure of GR(4, t). This result gives the exact range of parameters of the partial di!erence sets in 9R constructed by Chen et al. (J. Combin. ¹heory Ser. A 76 (1996), 179

Some Constructions of Semi-Regular Group

Some Constructions of Semi-Regular Group Divisible Designs

✍ S. M. Shah; Dr. D. G. Kabe 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 189 KB 👁 2 views

An extension of building sets and relati

An extension of building sets and relative difference sets

✍ Xiang-dong Hou; Surinder K. Sehgal 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 2 views

Building sets are a successful tool for constructing semi-regular divisible difference sets and, in particular, semi-regular relative difference sets. In this paper, we present an extension theorem for building sets under simple conditions. Some of the semi-regular relative difference sets obtained