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Schmidt, Bernhard

doi:10.1023/a:1008674331764

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1997

2005

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Cited by 23 publications

References 18 publications

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Theory of Difference Sets

Arasu

Pott

1999

Wiley Encyclopedia of Electrical and Electronics Engineering

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The sections in this article are Known Families of Difference Sets Multipliers Nonexistence Results Via Self‐Conjugacy Relative Difference Sets Known Families Of Relative Difference Sets Difference Sets and Perfect Sequences Almost Perfect Sequences and Divisible Difference Sets

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Theory of Difference Sets

Arasu

Pott

1999

Wiley Encyclopedia of Electrical and Electronics Engineering

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On perfect nonlinear functions

Zhang

Han

Fan

2005

J of Combinatorial Designs

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Abstract:We give the equivalence between perfect nonlinear functions and appropriate splitting semi-regular relative difference sets, construct a class of splitting relative difference sets by using Galois rings and bent functions, and prove that there exists a 4-phase perfect nonlinear function if and only if the number of input variables is at least twice the number of output variables. # 2005 Wiley Periodicals, Inc. J Combin Designs 13: [349][350][351][352][353][354][355][356][357][358][359][360][361][362] 2005

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