Partial Difference Sets and Amorphic Group Schemes from Pseudo-Quadratic Bent Functions
Journal of algebraic combinatorics(2012)
摘要
We present new abelian partial difference sets and amorphic group schemes of both Latin square type and negative Latin square type in certain abelian p-groups. Our method is to construct what we call pseudo-quadratic bent functions and use them in place of quadratic forms. We also discuss a connection between strongly regular bent functions and amorphic group schemes.
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关键词
Amorphic association scheme,Association scheme,Bent function,Partial difference set,Quadratic form,Negative Latin square
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