Explicit values of the DDT, the BCT, the FBCT, and the FBDT of the inverse, the gold, and the Bracken-Leander S-boxes
S Eddahmani, S Mesnager - Cryptography and Communications, 2022 - Springer
The inverse, the Gold, and the Bracken-Leander functions are crucial for building S-boxes of
block ciphers with good cryptographic properties in symmetric cryptography. These functions …
block ciphers with good cryptographic properties in symmetric cryptography. These functions …
D-property for APN functions from to
H Taniguchi - Cryptography and Communications, 2023 - Springer
C. Carlet [Boolean functions for Cryptography and Coding theory, p. 381] mentions an
observation of Dillon, that is, APN functions f on F 2 n with n greater than 2 must satisfy the …
observation of Dillon, that is, APN functions f on F 2 n with n greater than 2 must satisfy the …
Two new families of quadratic APN functions
In this paper, we present two new families of APN functions. The first family is in bivariate
form over. It is obtained by adding certain terms of the form to a family of APN functions …
form over. It is obtained by adding certain terms of the form to a family of APN functions …
Constructing new APN functions through relative trace functions
L Zheng, H Kan, Y Li, J Peng… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
Let. In 2020, Budaghyan, Helleseth and Kaleyski [IEEE TIT 66 (11): 7081-7087, 2020]
considered a family of quadrinomials over of the form. They showed that two infinite classes …
considered a family of quadrinomials over of the form. They showed that two infinite classes …
An STP-based model toward designing S-boxes with good cryptographic properties
Z Lu, S Mesnager, T Cui, Y Fan, M Wang - Designs, Codes and …, 2022 - Springer
The substitution box (S-box) is an important nonlinear component in most symmetric
cryptosystems and thus should have good properties. Its difference distribution table (DDT) …
cryptosystems and thus should have good properties. Its difference distribution table (DDT) …
Classification of (q, q)-Biprojective APN Functions
F Göloğlu - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
In this paper, we classify-biprojective almost perfect nonlinear (APN) functions over under
the natural left and right action of where is a finite field of characteristic 2. This shows in …
the natural left and right action of where is a finite field of characteristic 2. This shows in …
Extending two families of bivariate APN functions
In this work, we present two families of quadratic APN functions. The first one (F1) is
constructed via biprojective polynomials. This family extends one of the two APN families …
constructed via biprojective polynomials. This family extends one of the two APN families …
Two new infinite families of APN functions in trivariate form
K Li, N Kaleyski - IEEE Transactions on Information Theory, 2023 - ieeexplore.ieee.org
We present two infinite families of APN functions in trivariate form over finite fields of the
form. We show that the functions from both families are permutations when is odd, and are 3 …
form. We show that the functions from both families are permutations when is odd, and are 3 …
The classification of quadratic APN functions in 7 variables and combinatorial approaches to search for APN functions
K Kalgin, V Idrisova - Cryptography and Communications, 2023 - Springer
Almost perfect nonlinear functions possess optimal resistance to differential cryptanalysis
and are widely studied. Most known APN functions are defined using their representation as …
and are widely studied. Most known APN functions are defined using their representation as …
On Dillon's property of (n, m)-functions
M Abbondati, M Calderini, I Villa - Cryptography and Communications, 2024 - Springer
Dillon observed that an APN function F over F 2 n with n greater than 2 must satisfy the
condition {F (x)+ F (y)+ F (z)+ F (x+ y+ z): x, y, z∈ F 2 n}= F 2 n. Recently, Taniguchi …
condition {F (x)+ F (y)+ F (z)+ F (x+ y+ z): x, y, z∈ F 2 n}= F 2 n. Recently, Taniguchi …