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of 118
pro vyhledávání: '"Gangopadhyay, Sugata"'
The logical analysis of data, LAD, is a technique that yields two-class classifiers based on Boolean functions having disjunctive normal form (DNF) representation. Although LAD algorithms employ optimization techniques, the resulting binary classifie
Externí odkaz:
http://arxiv.org/abs/2309.16630
Group ring NTRU (GR-NTRU) provides a general structure to design different variants of NTRU-like schemes by employing different groups. Although, most of the schemes in literature are built over cyclic groups, nonabelian groups can also be used. Copp
Externí odkaz:
http://arxiv.org/abs/2309.08304
The Walsh--Hadamard spectrum of a bent function uniquely determines a dual function. The dual of a bent function is also bent. A bent function that is equal to its dual is called a self-dual function. The Hamming distance between a bent function and
Externí odkaz:
http://arxiv.org/abs/2304.03884
A quantum algorithm to estimate the closeness to the Strict Avalanche criterion in Boolean functions
Autor:
Jothishwaran, C. A., Chakraborty, Abhishek, Poonia, Vishvendra Singh, Stanica, Pantelimon, Gangopadhyay, Sugata
We propose a quantum algorithm (in the form of a quantum oracle) that estimates the closeness of a given Boolean function to one that satisfies the ``strict avalanche criterion'' (SAC). This algorithm requires $n$ queries of the Boolean function orac
Externí odkaz:
http://arxiv.org/abs/2211.15356
Autor:
Jothishwaran, C. A., Tkachenko, Anton, Gangopadhyay, Sugata, Riera, Constanza, Stanica, Pantelimon
We propose a quantum algorithm to estimate the Gowers $U_2$ norm of a Boolean function, and extend it into a second algorithm to distinguish between linear Boolean functions and Boolean functions that are $\epsilon$-far from the set of linear Boolean
Externí odkaz:
http://arxiv.org/abs/2006.16523
Drawing inspiration from Nyberg's paper~\cite{Nyb91} on perfect nonlinearity and the $c$-differential notion we defined in~\cite{EFRST20}, in this paper we introduce the concept of $c$-differential bent functions in two different ways (thus extending
Externí odkaz:
http://arxiv.org/abs/2006.12535
We explicitly derive a connection between quantum circuits utilising IBM's quantum gate set and multivariate quadratic polynomials over integers modulo 8. We demonstrate that the action of a quantum circuit over input qubits can be written as general
Externí odkaz:
http://arxiv.org/abs/1911.06851
Akademický článek
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In this paper we define the (edge-weighted) Cayley graph associated to a generalized Boolean function, introduce a notion of strong regularity and give several of its properties. We show some connections between this concept and generalized bent func
Externí odkaz:
http://arxiv.org/abs/1806.07601
Publikováno v:
In Discrete Applied Mathematics 30 January 2022 307:160-171
