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2008

Difference systems of sets and cyclotomy

13 years 3 months ago
Difference systems of sets and cyclotomy
Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. A method for the construction of DSS from partitions of cyclic difference sets was introduced in [6] and applied to cyclic difference sets (n, (n-1)/2, (n-3)/4) of Paley type, where n 3 (mod 4) is a prime number. This paper develops similar constructions for prime numbers n 1 (mod 4) that use partitions of the set of quadratic residues, as well as more general cyclotomic classes. Key words: difference set, cyclotomic class, code synchronization 1991 MSC: 05B, 94B
Yukiyasu Mutoh, Vladimir D. Tonchev
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where DM
Authors Yukiyasu Mutoh, Vladimir D. Tonchev
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