37 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Defence Research and Development OrganisationIN7 papers
- Indian Institute of Science BangaloreIN7 papers
- Indian Statistical InstituteIN3 papers
- University of DelhiIN3 papers
- Indian Institute of Technology BombayIN2 papers
- Aurel Vlaicu University of AradRO1 paper
- Banaras Hindu UniversityIN1 paper
- Carleton UniversityCA1 paper
- Centre for Artificial Intelligence and RoboticsIN1 paper
- Indian Institute of Technology JodhpurIN1 paper
- Indraprastha Institute of Information Technology DelhiIN1 paper
- Institute for Systems Studies & AnalysesIN1 paper
19 papers
General Casorati inequalities and implications for Riemannian maps and Riemannian submersions
Ravindra Singh, Kiran Meena, Kapish Chand Meena
This paper presents general forms of Casorati inequalities for Riemannian maps and Riemannian submersions between Riemannian manifolds. Using these general forms, we obtain Casorat…
Numerical radius and operator norm of Kronecker products and Schur powers: inequalities and equalities
Pintu Bhunia, Sujit Sakharam Damase, Apoorva Khare
Suppose is a complex matrix and is a bounded linear operator on a complex Hilbert space $\mat…
A New Algorithm for Computing Branch Number of Non-Singular Matrices over Finite Fields
P. R. Mishra, Yogesh Kumar, Susanta Samanta +1
The notion of branch numbers of a linear transformation is crucial for both linear and differential cryptanalysis. The number of non-zero elements in a state difference or linear m…
A Systematic Construction Approach for All Involutory MDS Matrices
Yogesh Kumar, P. R. Mishra, Susanta Samanta +1
Maximum distance separable (MDS) matrices play a crucial role not only in coding theory but also in the design of block ciphers and hash functions. Of particular interest are invol…
Construction of all MDS and involutory MDS matrices
Yogesh Kumar, P. R. Mishra, Susanta Samanta +2
In this paper, we propose two algorithms for a hybrid construction of all MDS and involutory MDS matrices over a finite field , respectively. The prop…
Probability inequalities for strongly left-invariant metric semigroups/monoids, including all Lie groups
Apoorva Khare
Recently, a general version of the Hoffmann-Jorgensen inequality was shown jointly with Rajaratnam [Ann. Probab. 2017], which (a) improved the result even for real-valued variables…
Recovering affine-linearity of functions from their restrictions to affine lines
Apoorva Khare, Akaki Tikaradze
Motivated by recent results of Tao-Ziegler [Discrete Anal. 2016] and Greenfeld-Tao (2022 preprint) on concatenating affine-linear functions along subgroups of an abelian group, we…
MDS multi-twisted Reed-Solomon codes with small dimensional hull
Harshdeep Singh, Kapish Chand Meena
In this paper, we find a necessary and sufficient condition for multi-twisted Reed-Solomon codes to be MDS. In particular, we introduce a new class of MDS double-twisted Reed-Solom…
From Cauchy's determinant formula to bosonic and fermionic immanant identities
Apoorva Khare, Siddhartha Sahi
Cauchy's determinant formula (1841) involving is a fundamental result in symmetric function theory. It has been extended in several directions, including…
The -norm of circulant matrices
Ludovick Bouthat, Apoorva Khare, Javad Mashreghi +1
In this note we study the induced -norm of circulant matrices , acting as operators on the Euclidean space . For circulant matrices whose entries ar…
Hirschman-Widder densities
Alexander Belton, Dominique Guillot, Apoorva Khare +1
Hirschman and Widder introduced a class of Pólya frequency functions given by linear combinations of one-sided exponential functions. The members of this class are probability dens…
On an asymptotic characterisation of Griffiths semipositivity
Apoorva Khare, Vamsi Pritham Pingali
We prove that certain possibly non-smooth Hermitian metrics are Griffiths-semipositively curved if and only if they satisfy an asymptotic extension property. This result answers a…
Fault Tolerance of Neural Networks in Adversarial Settings
Vasisht Duddu, N. Rajesh Pillai, D. Vijay Rao +1
Artificial Intelligence systems require a through assessment of different pillars of trust, namely, fairness, interpretability, data and model privacy, reliability (safety) and rob…
Cyber Attack Thread: A Control-flow Based Approach to Deconstruct and Mitigate Cyber Threats
Koustav Sadhukhan, Rao Arvind Mallari, Tarun Yadav
Attacks in cyberspace have got attention due to risk at privacy, breach of trust and financial losses for individuals as well as organizations. In recent years, these attacks have…
A note on the multiple-recursive matrix method for generating pseudorandom vectors
Susil Kumar Bishoi, Himanshu Kumar Haran, Sartaj Ul Hasan
The multiple-recursive matrix method for generating pseudorandom vectors was introduced by Niederreiter (Linear Algebra Appl. 192 (1993), 301-328). We propose an algorithm for find…
An asymptotic formula for the number of irreducible transformation shift registers
Stephen D. Cohen, Sartaj Ul Hasan, Daniel Panario +1
We consider the problem of enumerating the number of irreducible transformation shift registers. We give an asymptotic formula for the number of irreducible transformation shift re…
Linear Codes associated to Determinantal Varieties
Peter Beelen, Sudhir R. Ghorpade, Sartaj Ul Hasan
We consider a class of linear codes associated to projective algebraic varieties defined by the vanishing of minors of a fixed size of a generic matrix. It is seen that the resulti…
HF-hash : Hash Functions Using Restricted HFE Challenge-1
Dhananjoy Dey, Prasanna Raghaw Mishra, Indranath Sengupta
Vulnerability of dedicated hash functions to various attacks has made the task of designing hash function much more challenging. This provides us a strong motivation to design a ne…
Primitive Polynomials, Singer Cycles, and Word-Oriented Linear Feedback Shift Registers
Sudhir R. Ghorpade, Sartaj Ul Hasan, Meena Kumari
Using the structure of Singer cycles in general linear groups, we prove that a conjecture of Zeng, Han and He (2007) holds in the affirmative in a special case, and outline a plaus…