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This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions.
"The book deals with functions on finite fields that are used in cryptography. ... Anybody who is not only interested in the construction of cryptographic relevant function, but who wants to learn also about the problem how to classify functions up to equivalence, should refer to this excellent text." (Alexander Pott, zbMATH 1367.94001, 2017)
Introduction.- Generalities.- Equivalence relations of functions.- Bent functions.- New classes of APN and AB polynomials.- Construction of planar functions.