9 citations · 21 across the 8 of their papers we have counts for
5 papers · 1 filter
New algebraic points on covers of elliptic curves
Diana Mocanu, George C. Turcas
For a smooth projective curve of genus and an extension, we write . Recent work of Khawaja a…
Subgroup Packing for Batched PASTA Transciphering
Mugurel Barcau, Vicenţiu Paşol, George C. Ţurcaş
With transciphering, a server converts symmetrically encrypted records into homomorphic ciphertexts without learning the records or the symmetric key. For the PASTA cipher, this co…
Transversal Difference Numbers in Finite Abelian Quotients
Mugurel Barcau, Vicenţiu Paşol, George C. Ţurcaş
Given \(H\leq G\) finite abelian groups, a transversal \(T\subseteq G\) for \(G/H\) has fixed size \(|G/H|\), but its ambient difference support \(D(T)=T-T\) can vary with the embe…
Bridges connecting Encryption Schemes
Mugurel Barcau, Cristian Lupascu, Vicentiu Pasol +1
The present work investigates a type of morphisms between encryption schemes, called bridges. By associating an encryption scheme to every such bridge, we define and examine their…
Logarithmic Density of Rank and Rank Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography
Razvan Barbulescu, Mugurel Barcau, Vicentiu Pasol +1
In this work we study quantitative existence results for genus- curves over whose Jacobians have Mordell--Weil rank at least or , ordering the curves by the…