24 citations · 42 across the 9 of their papers we have counts for
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math.CO2020★ 3 cited
Constructions of new matroids and designs over GF(q)
Eimear Byrne, Michela Ceria, Sorina Ionica +2
A perfect matroid design (PMD) is a matroid whose flats of the same rank all have the same size. In this paper we introduce the q-analogue of a PMD and its properties. In order to…
math.NT2020★ 1 cited
Genus 3 hyperelliptic curves with CM via Shimura Reciprocity
B. Dina, S. Ionica
Up to isomorphism over C, every simple principally polarized abelian variety of dimension 3 is the Jacobian of a smooth projective curve of genus 3. Furthermore, this curve is eith…
cs.CR2020★ 3 cited
Parity (XOR) Reasoning for the Index Calculus Attack
Monika Trimoska, Sorina Ionica, Gilles Dequen
Cryptographic problems can often be reduced to solving Boolean polynomial systems, whose equivalent logical formulas can be treated using SAT solvers. Given the algebraic nature of…