activity
20152024
most citedNumber of Solutions of Systems of Homogeneous Polynomial Equations over Finite Fields

14 citations · 40 across the 11 of their papers we have counts for

collaborators

16 papers

math.AG2024

Intersection of irreducible curves and the Hermitian curve

Peter Beelen, Mrinmoy Datta, Maria Montanucci +1

Let denote the Hermitian curve in over and be an irreducible plane projective curve in also defined…

math.AG2024

Maximum number of points on an intersection of a cubic threefold and a non-degenerate Hermitian threefold

Mrinmoy Datta, Subrata Manna

It was conjectured by Edoukou in 2008 that a non-degenerate Hermitian threefold in has at most points in common with a thre…

cs.IT2022★ 3 cited

Codes from symmetric polynomials

Mrinmoy Datta, Trygve Johnsen

We define and study a class of Reed-Muller type error-correcting codes obtained from elementary symmetric functions in finitely many variables. We determine the code parameters and…

math.CO2021

A generalization of Gerzon's bound on spherical s-distance sets

Mrinmoy Datta, Subrata Manna

We Use the method of linearly independent polynomials to derive an upper bound for the cardinality of a spherical s-distance set F where the sum of distinct inner products of any t…

math.AG2020

A proof of Sørensen's conjecture on Hermitian surfaces

Peter Beelen, Mrinmoy Datta, Masaaki Homma

In this article we prove a conjecture formulated by A.B. Soerensen in 1991 on the maximal number of -rational points on the intersection of a non-degenerate Hermi…

cs.IT2019

Relative Generalized Hamming weights of affine Cartesian codes

Mrinmoy Datta

We explicitly determine all the relative generalized Hamming weights of affine Cartesian codes using the notion of footprints and results from extremal combinatorics. This generali…