Properties of associated Boolean functions of quadratic APN functions
نویسندگان
چکیده
منابع مشابه
Equivalences 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.
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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...
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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...
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We define and characterise selfnegadual generalised quadratic Boolean functions by establishing a link, both to the multiplicative order of symmetric binary matrices, and also to the Hermitian self-dual F4-linear codes. This facilitates a novel way to classify Hermitian self-dual F4-linear codes.
متن کاملSome Results on the Known Classes of Quadratic APN Functions
In this paper, we determine theWalsh spectra of three classes of quadratic APN functions and we prove that the class of quadratic trinomial APN functions constructed by Göloğlu is affine equivalent to Gold functions.
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ژورنال
عنوان ژورنال: Prikladnaya diskretnaya matematika. Prilozhenie
سال: 2019
ISSN: 2226-308X
DOI: 10.17223/2226308x/12/24