منابع مشابه
Classifying APN Monomials
I present some results towards a classification of APN monomials. Such functions are useful as S-boxes in AES-like cryptosystems. An easy application of Weil’s theorem on absolutely irreducible curves shows that a monomial fm(x) = x m is not APN over F2n for all sufficiently large n if a related polynomial has absolutely irreducible factors over F2. This can help classify the APN families of mo...
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 کاملNew construction of APN quaratic
The purpose of this paper is to detail the article of Carlet. Along the way I recall some interesting results in the theory of finite fields, I give (new) proofs of some known results, and then I generalize the construction of a family of APN function. The reference precedes each result, and in the absence of reference the proof is due to the author. Keywords: boolean, bent, APN
متن کاملCyclic Codes from APN and Planar Functions
Cyclic codes are a subclass of linear codes and have applications in consumer electronics, data storage systems, and communication systems as they have efficient encoding and decoding algorithms. In this paper, almost perfect nonlinear functions and planar functions over finite fields are employed to construct a number of classes of cyclic codes. Lower bounds on the minimum weight of some class...
متن کاملAppl. Sci
In this paper, several schemes of soft X-ray and hard X-ray free electron lasers (XFEL) and their progress are reviewed. Self-amplified spontaneous emission (SASE) schemes, the high gain harmonic generation (HGHG) scheme and various enhancement schemes through seeding and beam manipulations are discussed, especially in view of the generation of attosecond X-ray pulses. Our recent work on the ge...
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ژورنال
عنوان ژورنال: APN Science Bulletin
سال: 2020
ISSN: 2185-761X,2522-7971
DOI: 10.30852/sb.2020.1229