Titlebook: Construction and Analysis of Cryptographic Functions; Lilya Budaghyan Book 2014 Springer International Publishing Switzerland 2014 Almost

Fecundity

,Kenntafeln für Antriebsverhältnisse,In this chapter we present several methods for construction of APN functions. Using these methods we construct 7 out of 11 known infinite families of quadratic APN polynomials CCZ-inequivalent to power functions, 4 of which are also AB when . is odd.

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Introduction,In this chapter we give a short description of all the results presented in this monograph.

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Generalities,In this chapter we present all necessary definitions and preliminary results on cryptographic functions which are used throughout this book.

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Equivalence Relations of Functions,In this chapter we determine the cases where CCZ-equivalence coincide with EA-equivalence and where it is not, in particular, single and multioutput functions, bent functions, known power APN functions. We also study a possible extension of CCZ-equivalence.

消瘦

New Classes of APN and AB Polynomials,In this chapter we present several methods for construction of APN functions. Using these methods we construct 7 out of 11 known infinite families of quadratic APN polynomials CCZ-inequivalent to power functions, 4 of which are also AB when . is odd.

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外面

Beispiele zur Kenntafelermittlung, functions via Boolean functions, and a longstanding problem introduced by Dillon in 1974 about relation between two classes of bent functions..Further we prove that many of the known classes of generalized bent functions do not intersect with the completed class of Maiorana-McFarland bent functions.