On quadratic APN functions and dimensional dual hyperovals
نویسندگان
چکیده
منابع مشابه
Isomorphisms and Automorphisms of Extensions of Bilinear Dimensional Dual Hyperovals and Quadratic APN Functions
In [5] an extension construction of (n+1)-dimensional dual hyperovals using n-dimensional bilinear dual hyperovals was introduced. Related to this construction, is a construction of APN functions in dimension n+ 1 using two APN functions in dimension n. In this paper we show that the isomorphism problem for the (n + 1)-dimensional extensions can be reduced to the isomorphism problem of the init...
متن کاملDimensional Dual Hyperovals and APN Functions with Translation Groups
In this paper we develop a theory of translation groups for dimensional dual hyperovals and APN functions. It will be seen that both theories can be treated, to a large degree, simultaneously. For small ambient spaces it will be shown that the translation groups are normal in the automorphism group of the respective geometric object. For large ambient spaces there may be more than one translati...
متن کاملOn the equivalence of quadratic APN functions
Establishing the CCZ-equivalence of a pair of APN functions is generally quite difficult. In some cases, when seeking to show that a putative new infinite family of APN functions is CCZ inequivalent to an already known family, we rely on computer calculation for small values of n. In this paper we present a method to prove the inequivalence of quadratic APN functions with the Gold functions. Ou...
متن کاملEquivalences of quadratic APN functions
The following conjecture due to Y. Edel is affirmatively solved: two quadratic APN (almost perfect nonlinear) functions are CCZ-equivalent if and only if they are extended affine equivalent.
متن کاملQuadratic Equations from APN Power Functions
We develop several tools to derive quadratic equations from algebraic S-boxes and to prove their linear independence. By applying them to all known almost perfect nonlinear (APN) power functions and the inverse function, we can estimate the resistance against algebraic attacks. As a result, we can show that APN functions have different resistance against algebraic attacks, and especially S-boxe...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2009
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-009-9347-2