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Valérie Gillot

dblp:325/9995 · DBLP profile ↗
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1ranked-venue papers
1as first author
1since 2021 · last 2026
0009-0006-1876-1547ORCID · reported

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 1 · 1 first-author · 1 since 2021

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Theoretical computer science
1 paper
Coding theory · 87% Combinatorics and discrete mathematics · 13%

Topics — the 3 heaviest of 3, each with the papers that count most for it

TopicWeightPapersLastEvidence papers
Coding theory › boolean functions
bent functions
1.012026
Normality of 8-bit Bent Functions · IEEE Trans. Inf. Theory 2026
Coding theory
boolean functions
1.012026
Normality of 8-bit Bent Functions · IEEE Trans. Inf. Theory 2026
Combinatorics and discrete mathematics › combinatorial design
difference sets
0.312026
Normality of 8-bit Bent Functions · IEEE Trans. Inf. Theory 2026
YearPublicationVenuePosition
2026 Normality of 8-bit Bent Functions
abstract
Bent functions are Boolean functions in an even number of variables that are indicators of Hadamard difference sets in elementary abelian 2-groups. A bent functionfinmvariables is said to be normal if it is constant on an affine space of dimensionm/2. In this paper, we demonstrate that all bent functions in m = 8 variables, whose exact count, determined by Langevin and Leander (Des. Codes Cryptogr. 59(1–3): 193–205, 2011), is approximately 2106, share a common algebraic property: every 8-variable bent function is normal, up to the addition of a linear function. With this result, we complete the analysis of the normality of bent functions for the last unresolved case,m= 8. It is already known that all bent functions inmvariables are normal form≤ 6, while form≥ 10, there exist bent functions that cannot be made normal by adding linear functions. Consequently, we provide a complete solution to an open problem by Charpin (J. Complex. 20(2-3): 245-265, 2004).
Valérie Gillot, Philippe Langevin, Alexandr Polujan
IEEE Trans. Inf. Theory1