Boolean functions for cryptography and coding theory
C Carlet - 2021 - books.google.com
Boolean functions are essential to systems for secure and reliable communication. This
comprehensive survey of Boolean functions for cryptography and coding covers the whole …
comprehensive survey of Boolean functions for cryptography and coding covers the whole …
New instances of quadratic APN functions
In a recent work, Beierle, Brinkmann and Leander presented a recursive tree search for
finding APN permutations with linear self-equivalences in small dimensions. In this paper …
finding APN permutations with linear self-equivalences in small dimensions. In this paper …
On known constructions of APN and AB functions and their relation to each other
Sažetak This work is dedicated to APN and AB functions which are optimal against
differential and linear cryptanlysis when used as Sboxes in block ciphers. They also have …
differential and linear cryptanlysis when used as Sboxes in block ciphers. They also have …
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 …
The number of almost perfect nonlinear functions grows exponentially
C Kaspers, Y Zhou - Journal of Cryptology, 2021 - Springer
Almost perfect nonlinear (APN) functions play an important role in the design of block
ciphers as they offer the strongest resistance against differential cryptanalysis. Despite more …
ciphers as they offer the strongest resistance against differential cryptanalysis. Despite more …
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 …
[HTML][HTML] Classification of quadratic APN functions with coefficients in F2 for dimensions up to 9
Almost perfect nonlinear (APN) and almost bent (AB) functions are integral components of
modern block ciphers and play a fundamental role in symmetric cryptography. In this paper …
modern block ciphers and play a fundamental role in symmetric cryptography. In this paper …
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 …
On CCZ-inequivalence of some families of almost perfect nonlinear functions to permutations
F Göloğlu, J Pavlu̇ - Cryptography and Communications, 2021 - Springer
Abstract Browning et al.(2010) exhibited almost perfect nonlinear (APN) permutations on F 2
6 F_2^6. This was the first example of an APN permutation on an even degree extension of …
6 F_2^6. This was the first example of an APN permutation on an even degree extension of …
On a conjecture on APN permutations
D Bartoli, M Timpanella - Cryptography and Communications, 2022 - Springer
The single trivariate representation proposed in [C. Beierle, C. Carlet, G. Leander, L. Perrin,
A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv: 2104.08008] of …
A Further Study of Quadratic APN Permutations in Dimension Nine, arXiv: 2104.08008] of …