The invariant factors of some cyclic difference sets

Authors:
David B. Chandler;Qing Xiang
Affiliations:
Department of Mathematical Sciences, University of Delaware, Newark, DE;Department of Mathematical Sciences, University of Delaware, Newark, DE
Venue:
Journal of Combinatorial Theory Series A
Year:
2003

Citing 5
Cited 2

Design theory

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Gauss sums, Jacobi sums, and p-ranks of cyclic difference sets

Journal of Combinatorial Theory Series A
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A New Family of Cyclic Difference Sets with Singer Parameters in Characteristic Three

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Cyclic Relative Difference Sets and their p-Ranks

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On the ranks of bent functions

Finite Fields and Their Applications
Recent progress in algebraic design theory

Finite Fields and Their Applications

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Abstract

Using the Smith normal forms of the symmetric designs associated with the HKM and Lin difference sets, we show that not only are these two families of difference sets inequivalent, but also that the associated symmetric designs are nonisomorphic.