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Some necessary conditions on the parameters of partial difference sets

โœ Scribed by S.L. Ma


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
405 KB
Volume
62
Category
Article
ISSN
0378-3758

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โœฆ Synopsis


In this paper, we study some necessary conditions on the parameters of nontrivial regular (v, k, 2,/O-partial difference sets in abelian groups. In particular, we settle some undecided cases in Ma's table [Designs, Codes Cryptography, 4 (1994)]. Also, the case when 2 ~< I is studied.

Nonexistence results are obtained when 2 = 0 and a complete characterization is given when 2 = 1. Finally, parameters of partial difference sets with an odd # are determined.


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