4 citations · 12 across the 7 of their papers we have counts for
8 papers
Smaller Keys for the McEliece Cryptosystem: A Convolutional Variant with GRS Codes
Paulo Almeida, Miguel Beltrá, Diego Napp +1
In this paper we present a variant of the McEliece cryptosystem that possesses several interesting properties, including a reduction of the public key for a given security level. I…
Binary quadratic forms and the factorization method of Gauss
Monica Celis, Paulo Almeida
In Disquisitiones Arithmeticae, Gauss studied binary quadratic forms and introduced a very general version of a composition operator that allows composing even forms of different d…
Superregular matrices over small finite fields
Paulo Almeida, Diego Napp
A trivially zero minor of a matrix is a minor having all its terms in the Leibniz formula equal to zero. A matrix is superregular if all of its minors that are not trivially zero a…
Systematic Maximum Sum Rank Codes
Paulo Almeida, Umberto Martínez-Penas, Diego Napp
In the last decade there has been a great interest in extending results for codes equipped with the Hamming metric to analogous results for codes endowed with the rank metric. This…
Complete j-MDP convolutional codes
Paulo J. Almeida, Julia Lieb
Maximum distance profile (MDP) convolutional codes have been proven to be very suitable for transmission over an erasure channel. In addition, the subclass of complete MDP convolut…
A new class of convolutional codes and its use in the McEliece Cryptosystem
P. Almeida, D. Napp
In this paper we present a new class of convolutional codes that admits an efficient al- gebraic decoding algorithm. We study some of its properties and show that it can decode int…