15 citations · 34 across the 13 of their papers we have counts for
13 papers
On the regularity index of the minimum distance function in projective nested Cartesian codes
Cicero Carvalho, Maria Vaz Pinto, Rafael H. Villarreal
Let be a projective nested product of fields and let be the minimum distance in degree of the projective nested Cartesian code . The regularity index…
Decreasing norm-trace codes
Cícero Carvalho, Hiram H. López, Gretchen L. Matthews
The decreasing norm-trace codes are evaluation codes defined by a set of monomials closed under divisibility and the rational points of the extended norm-trace curve. In particular…
A family of codes with variable locality and availability
Cícero Carvalho, Victor G. L. Neumann
In this work we present a class of locally recoverable codes, i.e. codes where an erasure at a position of a codeword may be recovered from the knowledge of the entries in the…
A family of codes with locality containing optimal codes
Bruno Andrade, Cícero Carvalho, Victor G. L. Neumann +1
Locally recoverable codes were introduced by Gopalan et al. in 2012, and in the same year Prakash et al. introduced the concept of codes with locality, which are a type of locally…
On the existence of pairs of primitive and normal elements over finite fields
Cícero Carvalho, João Paulo Guardieiro, Victor G. L. Neumann +1
Let be a finite field with elements, and let and be positive integers. Given polynomials with $\textrm{deg…
On existence of some special pair of primitive elements over finite fields
C. Carvalho, J. P. G. Sousa, V. G. L. Neumann +1
In this paper we generalize the results of Sharma, Awasthi and Gupta (see \cite{SAG}). We work over a field of any characteristic with elements and we give a sufficient c…