๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New Classes of Residue Supplementary Difference Systems

โœ Scribed by Anie Chaderjian

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
305 KB
Volume
80
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

โœฆ Synopsis

Supplementary difference systems are a generalization of difference sets. We consider such generalizations of the residue difference sets. An infinite family of difference systems is obtained by forming the union of certain cosets of the e th powers in F * q 2 for prime powers q=4m+3. Applications to coding theory are given.

1997 Academic Press

2. DIFFERENCE SETS AND SUPPLEMENTARY DIFFERENCE SYSTEMS

We begin by recalling some facts about difference sets which will later be generalized to supplementary difference systems.

๐Ÿ“œ SIMILAR VOLUMES

Two New Classes of Difference Families
Two New Classes of Difference Families
โœ Marco Buratti ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 75 KB

We construct, in a very simple way, two new classes of elementary abelian (q 2 , k, k&1) and (q 2 , k+1, k+1) difference families with k a multiple of q&1. The first of these classes contains, as special cases, the supplementary difference systems constructed by A.