A new class of generalized almost perfect nonlinear power function
L Wang, L Wang, B Zhang - Finite Fields and Their Applications, 2022 - Elsevier
L Wang, L Wang, B Zhang
Finite Fields and Their Applications, 2022•ElsevierAs a generalization of almost perfect nonlinear functions, generalized almost perfect
nonlinear (GAPN) functions defined over finite fields of odd characteristic have also
important applications in cryptography and finite geometry. In this paper, we mainly focus on
GAPN power functions, and a new class of such function (up to EA equivalence) is obtained.
Furthermore, using our method, almost all the known GAPN power functions can be
confirmed in a simple way.
nonlinear (GAPN) functions defined over finite fields of odd characteristic have also
important applications in cryptography and finite geometry. In this paper, we mainly focus on
GAPN power functions, and a new class of such function (up to EA equivalence) is obtained.
Furthermore, using our method, almost all the known GAPN power functions can be
confirmed in a simple way.
Abstract
As a generalization of almost perfect nonlinear functions, generalized almost perfect nonlinear (GAPN) functions defined over finite fields of odd characteristic have also important applications in cryptography and finite geometry. In this paper, we mainly focus on GAPN power functions, and a new class of such function (up to EA equivalence) is obtained. Furthermore, using our method, almost all the known GAPN power functions can be confirmed in a simple way.
Elsevier
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