From the 1 of 5 linked papers with an AI index.
5 papers
Extensions of root-based attacks against PLWE via isomorphisms of rings
Iván Blanco-Chacón, Rodrigo MartÃn Sánchez-Ledesma, Raúl Durán DÃaz
The paper investigates extensions of root‑based attacks on the Polynomial Learning With Errors (PLWE) problem by constructing explicit isomorphisms between vulnerable polynomial ri…
A blueprint for constructing 3-pass AKE protocols under commitment-based models
Rodrigo MartÃn Sánchez-Ledesma
The commitment-based AKE model provides a formal security framework for key exchange protocols that avoid long-term cryptographic material, achieving authentication through a final…
A Commitment-based Authentication model for Key Exchange protocols
Rodrigo MartÃn Sánchez-Ledesma, David Domingo MartÃn, Iván Blanco Chacón +1
In this work we construct an alternative model for Authenticated Key Exchange, intended to build a theoretic security framework for protocols whose characteristics may not always c…
A Fast Multiplication Algorithm and RLWE-PLWE Equivalence for the Maximal Real Subfield of the -th Cyclotomic Field
Wilmar Bolaños, Antti Haavikko, Rodrigo MartÃn Sánchez-Ledesma
This paper proves the RLWE-PLWE equivalence for the maximal real subfields of the cyclotomic fields with conductor , where is an odd prime, and and $s \…
Fast Multiplication and the PLWE-RLWE Equivalence for an Infinite Family of Maximal Real Subfields of Cyclotomic Fields
Joonas Ahola, Iván Blanco-Chacón, Wilmar Bolaños +3
We prove the equivalence between the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems for the maximal totally real subfield of the …