7 papers
Revisit to the Bai-Galbraith signature scheme
Banhirup Sengupta, Peenal Gupta, Souvik Sengupta
Dilithium is one of the NIST approved lattice-based signature schemes. In this short note we describe the Bai-Galbraith signature scheme proposed in BG14, which differs to Dilithiu…
Introduction to Number Theoretic Transform
Banhirup Sengupta, Peenal Gupta, Souvik Sengupta
The Number Theoretic Transform (NTT) can be regarded as a variant of the Discrete Fourier Transform. NTT has been quite a powerful mathematical tool in developing Post-Quantum Cryp…
Morrey-Lorentz estimates for Hodge-type systems
Banhirup Sengupta, Swarnendu Sil
We prove up to the boundary regularity estimates in Morrey-Lorentz spaces for weak solutions of the linear system of differential forms with regular anisotropic coefficients \begin…
Nonlinear transport equations and quasiconformal maps
Albert Clop, Banhirup Sengupta
We prove existence of solutions to a nonlinear transport equation in the plane, for which the velocity field is obtained as the convolution of the classical Cauchy Kernel with the…
Pointwise rotation for homeomorphisms with integrable distortion and controlled compression
Lauri Hitruhin, Banhirup Sengupta
We obtain sharp rotation bounds for homeomorphisms whose distortion is in , , and whose inverse have controlled modulus of continuity…
Rotation bounds for Hölder continuous homeomorphisms with integrable distortion
Albert Clop, Lauri Hitruhin, Banhirup Sengupta
We obtain sharp rotation bounds for the subclass of homeomorphisms of finite distortion which have distortion function in , , and for wh…
Pointwise descriptions of nearly incompressible vector fields with bounded curl
Albert Clop, Banhirup Sengupta
Among those nearly incompressible vector fields with growth at infinity, we give a pointwise characterization of the ones fo…