60 citations · 149 across the 19 of their papers we have counts for
24 papers
New Methods for Constructing Classical and Quantum Codes from Graphs and Matroids
Anderson S. Barbosa, Franklin de L. Marquezino, Giuliano G. La Guardia
In this paper, we present a method for constructing linear codes derived from book graphs. Applying such a method, we construct binary codes that have the greatest possible minimum…
Algebraic and Geometric Characterizations Related to the Quantization Problem of the Channel
Anderson José de Oliveira, Giuliano Gadioli La Guardia, Reginaldo Palazzo +4
In this paper, we consider the steps to be followed in the analysis and interpretation of the quantization problem related to the channel, where the Fuchsian differential…
Asymmetric quantum codes on non-orientable surfaces
Waldir S. Soares, Douglas F. Copatti, Giuliano G. La Guardia +1
In this paper, we construct new families of asymmetric quantum surface codes (AQSCs) over non-orientable surfaces of genus by applying tools of hyperbolic geometry. More…
Fractional Finite Sums Theory: a motivation and some new results
Leonardo F. Bielinski, Giuliano G. La Guardia, Jocemar Q. Chagas
This paper is concerned with the study of the fractional finite sums theory. We present the classes of functions for which it is possible to characterize the constant related to th…
On Finitely Stable Additive Bases
Lucas Y. Obata, Luan A. Ferreira, Giuliano G. La Guardia
The concept of additive basis has been investigated in the literature for several mathematicians which works with number theorem. Recently, the concept of finitely stable additive…
On semi-vector spaces and semi-algebras
Giuliano G. La Guardia, Jocemar de Q. Chagas, Ervin K. Lenzi +1
It is well-known that the theories of semi-vector spaces and semi-algebras -- which were not much studied over time -- are utilized/applied in Fuzzy Set Theory in order to obtain e…
Stabilizer codes for Open Quantum Systems
Francisco Revson F. Pereira, Stefano Mancini, Giuliano G. La Guardia
The Lindblad master equation describes the evolution of a large variety of open quantum systems. An important property of some open quantum systems is the existence of decoherence-…
A Lipschitz version of the -Lemma and a characterization of homoclinic and heteroclinic orbits
Leonardo Pires, Giuliano G. La Guardia
In this paper we consider finite dimensional dynamical systems generated by a Lipschitz function. We prove a version of the Whitney's Extension Theorem on compact manifolds to obta…
Entanglement-assisted Quantum Codes from Algebraic Geometry Codes
Francisco Revson F. Pereira, Ruud Pellikaan, Giuliano Gadioli La Guardia +1
Quantum error correcting codes play the role of suppressing noise and decoherence in quantum systems by introducing redundancy. Some strategies can be used to improve the parameter…
Quantum codes derived from cyclic codes
Giuliano G. La Guardia
In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In…
New Convolutional Codes Derived from Algebraic Geometry Codes
Francisco Revson F. Pereira, Giuliano G. La Guardia, Francisco M. de Assis
In this paper, we construct new families of convolutional codes. Such codes are obtained by means of algebraic geometry codes. Additionally, more families of convolutional codes ar…
Good and asymptotically good quantum codes derived from algebraic geometry codes
Giuliano Gadioli La Guardia, Francisco Revson F. Pereira
In this paper we construct several new families of quantum codes with good and asymptotically good parameters. These new quantum codes are derived from (classical) algebraic geomet…
Asymptotically Good Convolutional Codes
Giuliano Gadioli La Guardia
In this paper, we construct new sequences of asymptotically good convolutional codes. These sequences are obtained from sequences of transitive, self-orthogonal and self-dual block…
Theoretical knock-outs on biological networks
Pedro Jeferson Miranda, Sandro Ely de Souza Pinto, Murilo da Silva Baptista +1
In this work we formalize a method to compute the degree of importance of biological agents that participates on the dynamics of a biological phenomenon build upon a complex networ…
On cyclotomic cosets and code constructions
Giuliano Gadioli La Guardia, Marcelo Muniz Silva Alves
New properties of -ary cyclotomic cosets modulo , where is a prime power, are investigated in this paper. Based on these properties, the dimension as w…
Algebraic Quantum Synchronizable Codes
K. Guenda, G. G. La Guardia, T. A. Gulliver
In this paper, we construct quantum synchronizable codes (QSCs) based on the sum and intersection of cyclic codes. Further, infinite families of QSCs are obtained from BCH and duad…
Pseudo Magic Squares
Giuliano G. La Guardia, Ana Lucia Pereira Baccon
A magic square of order n is an nxn square (matrix) whose entries are distinct nonnegative integers such that the sum of the numbers of any row and column is the same number, the m…
Asymmetric quantum convolutional codes
Giuliano G. La Guardia
In this paper, we construct the first families of asymmetric quantum convolutional codes (AQCC)'s. These new AQCC's are constructed by means of the CSS-type construction applied to…
On optimal constacyclic codes
Giuliano G. La Guardia
In this paper we investigate the class of constacyclic codes, which is a natural generalization of the class of cyclic and negacyclic codes. This class of codes is interesting in t…
On Negacyclic MDS-Convolutional Codes
Giuliano Gadioli La Guardia
New families of classical and quantum optimal negacyclic convolutional codes are constructed in this paper. This optimality is in the sense that they attain the classical (quantum)…
On Matroids and Linearly Independent Set Families
Giuliano G. La Guardia, Luciane Grossi, Welington Santos
New families of matroids are constructed in this note. These new fami- lies are derived from the concept of linearly independent set family (LISF) introduced by Eicker and Ewald [L…
On the Construction of Nonbinary Quantum BCH Codes
Giuliano G. La Guardia
Four quantum code constructions generating several new families of good nonbinary quantum nonprimitive non-narrow-sense Bose-Chaudhuri-Hocquenghem (BCH) codes are presented in this…
On Classical and Quantum MDS-Convolutional BCH Codes
Giuliano G. La Guardia
Several new families of multi-memory classical convolutional Bose-Chaudhuri-Hocquenghem (BCH) codes as well as families of unit-memory quantum convolutional codes are constructed i…
Convolutional Codes Derived From Group Character Codes
Giuliano G. La Guardia
New families of unit memory as well as multi-memory convolutional codes are constructed algebraically in this paper. These convolutional codes are derived from the class of group c…