Almost perfect and planar functions
A Pott - Designs, Codes and Cryptography, 2016 - Springer
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SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home 2.Designs, Codes …
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Hasse-Weil type theorems and relevant classes of polynomial functions.
D Bartoli - BCC, 2021 - books.google.com
Several types of functions over finite fields have relevant applications in applied areas of
mathematics, such as cryptography and coding theory. Among them, planar functions, APN …
mathematics, such as cryptography and coding theory. Among them, planar functions, APN …
A new large class of functions not APN infinitely often
F Caullery - Designs, codes and cryptography, 2014 - Springer
A new large class of functions not APN infinitely often | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …
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On the conjecture on APN functions and absolute irreducibility of polynomials
An almost perfect nonlinear (APN) function (necessarily a polynomial function) on a finite
field FF is called exceptional APN, if it is also APN on infinitely many extensions of F F. In this …
field FF is called exceptional APN, if it is also APN on infinitely many extensions of F F. In this …
Some new techniques and progress towards the resolution of the conjecture of exceptional APN functions and absolutely irreducibility of a class of polynomials
Abstract Almost Perfect Nonlinear (APN) functions are very useful in cryptography, when
they are used as S-Boxes due to their good resistance to differential cryptanalysis. Also …
they are used as S-Boxes due to their good resistance to differential cryptanalysis. Also …
[PDF][PDF] Some new results on the conjecture on exceptional APN functions and absolutely irreducible polynomials: The gold case.
An almost perfect nonlinear (APN) function f: F2n→ F2n (necessarily polynomial) is called
exceptional APN if it is APN on infinitely many extensions of F2n. Aubry, McGuire and Rodier …
exceptional APN if it is APN on infinitely many extensions of F2n. Aubry, McGuire and Rodier …
On the classification of non-exceptional APN functions
An almost perfect non-linear (APN) function over F 2 n is called exceptional APN if it remains
APN over infinitely many extensions of F 2 n. Exceptional APN functions have attracted …
APN over infinitely many extensions of F 2 n. Exceptional APN functions have attracted …
ON THE IRREDUCIBILITY OF THE HYPERPLANE SECTIONS OF FERMAT VARIETIES IN P3 IN CHARACTERISTIC 2.
E Férard - Advances in Mathematics of Communications, 2014 - search.ebscohost.com
Let t be an integer⩾ 5. The absolute irreducibility of the polynomial ϕt (x, y)= x< sup> t+ y<
sup> t+ 1+(x+ y+ 1)< sup> t/(x+ y)(x+ 1)(y+ 1)(over F2) plays an important role in the study of …
sup> t+ 1+(x+ y+ 1)< sup> t/(x+ y)(x+ 1)(y+ 1)(over F2) plays an important role in the study of …
Some new absolutely irreducibility testing criteria and their applications to the proof of a conjecture on exceptional almost perfect nonlinear (E-APN) function
CA Agrinsoni Santiago - 2022 - repositorio.upr.edu
Our research work is on the construction of new absolute irreducible testing criteria and the
creation of criteria that guarantee the existence of an absolute irreducible factor defined over …
creation of criteria that guarantee the existence of an absolute irreducible factor defined over …