1 citations · 2 across the 6 of their papers we have counts for
7 papers
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…
Iterated extensions and the ramification dichotomy
Mugurel Barcau, Vicenţiu Paşol
Let be finite and let be monic, of degree at least two, with , equivalently . For a 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…
Composing Bridges
Mugurel Barcau, Vicenţiu Paşol, George C. Ţurcaş
The present work builds on previous investigations of the authors (and their collaborators) regarding bridges, a certain type of morphisms between encryption schemes, making a step…
On representations by Egyptian fractions
Florin Ambro, Mugurel Barcau
We give a sharp upper bound for the entries of the representations of a rational number as a sum of Egyptian fractions.