6 citations · 11 across the 4 of their papers we have counts for
4 papers
Public key cryptography based on skew dihedral group rings
Javier de la Cruz, Edgar Martínez-Moro, Ricardo Villanueva-Polanco
In this paper, we propose to use a skew dihedral group ring given by the group and the finite field for public-key cryptography. Using the ambient space…
Free Resolutions and Generalized Hamming Weights of binary linear codes
Ignacio García-Marco, Irene Márquez-Corbella, Edgar Martínez-Moro +1
In this work, we explore the relationship between free resolution of some monomial ideals and Generalized Hamming Weights (GHWs) of binary codes. More precisely, we look for a stru…
Private Information Retrieval Schemes Using Cyclic Codes
Şeyma Bodur, Edgar Martínez-Moro, Diego Ruano
A Private Information Retrieval (PIR) scheme allows users to retrieve data from a database without disclosing to the server information about the identity of the data retrieved. A…
On the generalized Hamming weights of hyperbolic codes
Eduardo Camps-Moreno, Ignacio García-Marco, Hiram H. López +3
A hyperbolic code is an evaluation code that improves a Reed-Muller because the dimension increases while the minimum distance is not penalized. We give the necessary and sufficien…