3 citations · 6 across the 3 of their papers we have counts for
5 papers
Improved Schemes for Asymptotically Optimal Repair of MDS Codes
Ameera Chowdhury, Alexander Vardy
We consider MDS codes of length , dimension , and subpacketization over a finite field . A codeword of such a code consists of column-vectors of…
Inclusion Matrices and the MDS Conjecture
Ameera Chowdhury
Let F_q be a finite field of order q with characteristic p. An arc is an ordered family of at least k vectors in (F_q)^k in which every subfamily of size k is a basis of (F_q)^k. T…
A New Quadratic Bound for the Manickam-Miklós-Singhi Conjecture
Ameera Chowdhury, Ghassan Sarkis, Shahriar Shahriari
More than twenty-five years ago, Manickam, Miklos, and Singhi conjectured that for positive integers with , every set of real numbers with nonnegative sum has…
The Manickam-Miklós-Singhi Conjectures for Sets and Vector Spaces
Ameera Chowdhury, Ghassan Sarkis, Shahriar Shahriari
More than twenty-five years ago, Manickam, Miklós, and Singhi conjectured that for positive integers with , every set of real numbers with nonnegative sum has…
Colouring Lines in Projective Space
Ameera Chowdhury, Chris Godsil, Gordon Royle
Let be a vector space of dimension over a field of order . The -Kneser graph has the -dimensional subspaces of as its vertices, where two subspaces and …