10 citations · 10 across the 3 of their papers we have counts for
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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…
Maximum number of -rational points on nonsingular threefolds in
Mrinmoy Datta
We determine the maximum number of -rational points that a nonsingular threefold of degree in a projective space of dimension defined over may…
Maximum number of points on intersection of a cubic surface and a non-degenerate Hermitian surface
Peter Beelen, Mrinmoy Datta
In 1991 Sørensen proposed a conjecture for the maximum number of points on the intersection of a surface of degree and a non-degenerate Hermitian surface in $\PP^3(\Fqt)$. The…
Generalized Hamming weights of affine cartesian codes
Peter Beelen, Mrinmoy Datta
In this article, we give the answer to the following question: Given a field , finite subsets of , and linearly independent polynomials…
Maximum Number of Common Zeros of Homogeneous Polynomials over Finite Fields
Peter Beelen, Mrinmoy Datta, Sudhir R. Ghorpade
About two decades ago, Tsfasman and Boguslavsky conjectured a formula for the maximum number of common zeros that linearly independent homogeneous polynomials of degree in…