3 papers
math.NT2020
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
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…
math.NT2018
Modular invariants for genus 3 hyperelliptic curves
Sorina Ionica, Pinar Kilicer, Kristin Lauter +4
In this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, and Zykin, which allows us to connect invariants of binary oc-tics to Siegel modular forms of genus 3. W…