3 citations · 10 across the 10 of their papers we have counts for
10 papers
Quantum-Accelerated Gowers Norm for Bent Boolean Functions
Rajdeep Dwivedi, C. A. Jothiwashran, Sugata Gangopadhyay +1
Bent Boolean functions extremal objects that maximally resist affine approximation are notoriously hard to construct for large numbers of variables. We propose a hybrid quantum-cla…
On Learning with LAD
C. A. Jothishwaran, Biplav Srivastava, Jitin Singla +1
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 alg…
Lattice attack on group ring NTRU: The case of the dihedral group
Vikas Kumar, Ali Raya, Sugata Gangopadhyay +1
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…
Rayleigh quotients of Dillon's functions
Aditi Kar Gangopadhyay, Mansi, Bimal Mandal +2
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…
A quantum algorithm to estimate the closeness to the Strict Avalanche criterion in Boolean functions
C. A. Jothishwaran, Abhishek Chakraborty, Vishvendra Singh Poonia +2
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'' (…
SSIDS: Semi-Supervised Intrusion Detection System by Extending the Logical Analysis of Data
Tanmoy Kanti Das, S. Gangopadhyay, Jianying Zhou
Prevention of cyber attacks on the critical network resources has become an important issue as the traditional Intrusion Detection Systems (IDSs) are no longer effective due to the…
A quantum algorithm to estimate the Gowers norm and linearity testing of Boolean functions
C. A. Jothishwaran, Anton Tkachenko, Sugata Gangopadhyay +2
We propose a quantum algorithm to estimate the Gowers norm of a Boolean function, and extend it into a second algorithm to distinguish between linear Boolean functions and Bo…
-differential bent functions and perfect nonlinearity
Pantelimon Stanica, Sugata Gangopadhyay, Aaron Geary +2
Drawing inspiration from Nyberg's paper~\cite{Nyb91} on perfect nonlinearity and the -differential notion we defined in~\cite{EFRST20}, in this paper we introduce the concept of…
Generalized Boolean Functions and Quantum Circuits on IBM-Q
Sugata Gangopadhyay, Vishvendra Singh Poonia, Daattavya Aggarwal +1
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 a…
Generalized bent Boolean functions and strongly regular Cayley graphs
Constanza Riera, Pantelimon Stanica, Sugata Gangopadhyay
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. W…