Results 11 to 20 of about 5,218,588 (299)
Relative Difference Sets [PDF]
Journal of Combinatorial Theory, Series A, 1996 The authors rediscover the well-known existence of cyclic relative difference sets with parameters \((q + 1, 2, q, (q - 1)/2)\), where \(q\) is an odd prime power. The existence of this series (Theorem 2 in their paper) follows directly by applying the standard projection argument of \textit{J. E. H. Elliott} and \textit{A. T.
Christos Koukouvinos +1 more
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Sub-difference sets of Hadamard difference sets [PDF]
Journal of Combinatorial Theory, Series A, 1990 A Hadamard difference set (HDS) is a difference set with parameters of the form \(v=4m^ 2\), \(k=2m^ 2-m\), \(\lambda =m^ 2-m\). If the Abelian group G contains a HDS and H is a Hall subgroup of G then, under certain conditions, it is possible to get a HCS of H.
McFarland, Robert L
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Constructions for difference triangle sets [PDF]
IEEE Transactions on Information Theory, 1997 Difference triangle sets are useful in many practical problems of information transmission. This correspondence studies combinatorial and computational constructions for difference triangle sets having small scopes. Our algorithms have been used to produce difference triangle sets whose scopes are the best currently known.
Yeow Meng Chee, Charles J. Colbourn
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Some new difference sets [PDF]
Journal of Combinatorial Theory, Series A, 1995 An abelian \((v, k, \lambda)\)-difference set \(D\) is a \(k\)-subset of an abelian group \(G\) such that the list of differences covers every non- identity group element exactly \(\lambda\) times. Even for ``small'' parameter triples, it is not yet known whether difference sets can exist or not.
Arasu, K. T., Sehgal, Surinder K.
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Constructions of Hadamard Difference Sets [PDF]
Journal of Combinatorial Theory, Series A, 1997 For many years, abelian Hadamard difference sets with parameters \((4m^2,2m^2-m,m^2-m)\) have been known only for \(m\) being a product of powers of 2 and 3. In 1992, Xia gave a construction for abelian Hadamard difference sets in groups of order divisible by any prime \(p\equiv 3\pmod 4\).
Richard M. Wilson 0001, Qing Xiang
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Decompositions of Difference Sets [PDF]
Journal of Algebra, 1999 This paper characterizes those symmetric designs with a Singer group \(G\) which admit a quasi-regular \(G\)-invariant partition into strongly induced symmetric subdesigns. In terms of the corresponding difference sets, the set associated with the larger design can be decomposed into a difference set describing the small designs and a suitable relative
Jungnickel, Dieter, Tonchev, Vladimir D.
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La Jolla Signed Difference Set Repository
, 2023 These combinatorial objects were described in my paper "Signed Difference Sets", to appear in Designs, Codes and Cryptography. This repository contains all the signed difference sets and existence results that were found in that paper.If you use this ...
Gordon, Daniel M.
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SOME CONTRIBUTIONS TO CYCLOTOMIC DIFFERENCE SETS AND ABELIAN DIFFERENCE SETS [PDF]
, 2021 The modern theory of sets has been originated by the German Mathematician George Cantor. He published so many papers showing various properties of abstract sets.
BIRENDRA KUMAR JHA
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Qualified difference sets from unions of cyclotomic classes [PDF]
, 2009 Qualified difference sets (QDS) composed of unions of cyclotomic classes are discussed. An exhaustive computer search for such QDS and modified QDS that also possess the zero residue has been conducted for all powers n=4,6,8 and 10. Two new families were
Byard, Kevin, Broughan, Kevin A.
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Difference Sets and Positive Exponential Sums I. General Properties [PDF]
, 2014 We describe general connections between intersective properties of sets in Abelian groups and positive exponential sums. In particular, given a set A the maximal size of a set whose difference set avoids A will be related to positive exponential sums ...
Matolcsi, Máté, Ruzsa, Z. Imre
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