7 citations · 12 across the 8 of their papers we have counts for
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cs.SC2014★ 3 cited
On Ideal Lattices, Gröbner Bases and Generalized Hash Functions
Maria Francis, Ambedkar Dukkipati
In this paper, we draw connections between ideal lattices and multivariate polynomial rings over integers using Gröbner bases. Ideal lattices are ideals in the residue class ring,…
cs.SC2014★ 1 cited
On Ideal Lattices and Gröbner Bases
Maria Francis, Ambedkar Dukkipati
In this paper, we draw a connection between ideal lattices and Gröbner bases in the multivariate polynomial rings over integers. We study extension of ideal lattices in $\mathbb{Z}…
cs.SC2014
Border Bases for Polynomial Rings over Noetherian Rings
Ambedkar Dukkipati, Nithish Pai, Maria Francis
The theory of border bases for zero-dimensional ideals has attracted several researchers in symbolic computation due to their numerical stability and mathematical elegance. As show…