Zobrazeno 1 - 10
of 2 801
pro vyhledávání: '"Carlet A"'
We study the $n$-variable Boolean functions which keep their algebraic degree unchanged when they are restricted to any (affine) hyperplane, or more generally to any affine space of a given co-dimension $k$. For cryptographic applications it is of in
Externí odkaz:
http://arxiv.org/abs/2409.20211
Autor:
Carlet, Claude, Sarkar, Palash
We describe two new classes of functions which provide the presently best known trade-offs between low computational complexity, nonlinearity and (fast) algebraic immunity. The nonlinearity and (fast) algebraic immunity of the new functions substanti
Externí odkaz:
http://arxiv.org/abs/2408.11583
Autor:
Carlet, Claude, Hou, Xiang-dong
In two papers entitled ``Two generalizations of almost perfect nonlinearity" and ``On the vector subspaces of $\mathbb F_{2^n}$ over which the multiplicative inverse function sums to zero", the first author has introduced and studied the notion of su
Externí odkaz:
http://arxiv.org/abs/2407.14660
Boolean functions are mathematical objects used in diverse applications. Different applications also have different requirements, making the research on Boolean functions very active. In the last 30 years, evolutionary algorithms have been shown to b
Externí odkaz:
http://arxiv.org/abs/2402.09937
Bent Boolean functions are important objects in cryptography and coding theory, and there are several general approaches for constructing such functions. Metaheuristics proved to be a strong choice as they can provide many bent functions, even when t
Externí odkaz:
http://arxiv.org/abs/2311.11884
Autor:
Carlet, Claude, Ðurasevic, Marko, Gašperov, Bruno, Jakobovic, Domagoj, Mariot, Luca, Picek, Stjepan
Rotation symmetric Boolean functions represent an interesting class of Boolean functions as they are relatively rare compared to general Boolean functions. At the same time, the functions in this class can have excellent properties, making them inter
Externí odkaz:
http://arxiv.org/abs/2311.11881
Autor:
Andrea Boscolo Bragadin, Paola Del Bianco, Elisabetta Zulato, Ilaria Attili, Alberto Pavan, Jessica Carlet, Ludovica Marra, Valentina Guarneri, Stefano Indraccolo, Laura Bonanno
Publikováno v:
npj Precision Oncology, Vol 8, Iss 1, Pp 1-8 (2024)
Abstract High heterogeneity in clinical benefit characterizes the use of immune checkpoint inhibitors (ICIs) in non-small cell lung cancer (NSCLC). We prospectively enrolled 113 advanced NSCLC patients treated with ICIs and performed liquid biopsy at
Externí odkaz:
https://doaj.org/article/4bf7c8c91ecc4b6c9e8e3e50728b08c1
Autor:
Carlet, Claude, Solé, Patrick
Publikováno v:
Discrete Math 2023
We determine the weight spectra of the Reed-Muller codes $RM(m-3,m)$ for $m\ge 6$ and $RM(m-4,m)$ for $m\ge 8$. The technique used is induction on $m$, using that the sum of two weights in $RM(r-1,m-1)$ is a weight in $RM(r,m)$, and using the charact
Externí odkaz:
http://arxiv.org/abs/2301.13497
Publikováno v:
Commun. Number Theory Phys. 17 (2023), no. 3, 643-708
We consider the Hurwitz Dubrovin--Frobenius manifold structure on the space of meromorphic functions on the Riemann sphere with exactly two poles, one simple and one of arbitrary order. We prove that the all genera partition function (also known as t
Externí odkaz:
http://arxiv.org/abs/2211.12259
The design of binary error-correcting codes is a challenging optimization problem with several applications in telecommunications and storage, which has also been addressed with metaheuristic techniques and evolutionary algorithms. Still, all these e
Externí odkaz:
http://arxiv.org/abs/2211.11551