
ISSN:
1930-5346
eISSN:
1930-5338
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Advances in Mathematics of Communications
August 2020 , Volume 14 , Issue 3
Special issue on Latin American Week on Coding and Information
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Trapping sets significantly influence the performance of low-density parity-check codes. An
We propose a generalization of the quantum relative entropy by considering the geodesic on a manifold formed by all the invertible density matrices
In this work is provided a definition of group encoding capacity
In this paper we construct
Galois images of polycyclic codes over a finite chain ring
In this paper we present a vector quantization framework for Gaussian sources which combines a spherical code on layers of flat tori and the shape and gain technique. The basic concepts of spherical codes in tori layers are reviewed and two constructions are presented for the shape by exploiting the
We consider on
Motivated by a security application on physically unclonable functions, we evaluate the probability distributions and Rényi entropies of signs of scalar products of i.i.d. Gaussian random variables against binary codewords in
The security of public-key systems is based on the difficulty of solving certain mathematical problems. With the possible emergence of large-scale quantum computers several of these problems, such as factoring and computing discrete logarithms, would be efficiently solved. Research on quantum-resistant public-key cryptography, also called post-quantum cryptography (PQC), has been productive in recent years. Public-key cryptosystems based on the problem of computing isogenies between supersingular elliptic curves appear to be good candidates for the next generation of public-key cryptography standards in the PQC scenario. In this work, motivated by a previous work by D. Moody and D. Shumow [
The calculation of the weight distribution for some reducible cyclic codes can be reduced down to the corresponding one of a particular kind of irreducible cyclic codes. This reduction is achieved by means of a known identity (see [
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