4 papers
Cartesian square-free codes
Cícero Carvalho, Hiram H. López, Rodrigo San-José
The generalized Hamming weights (GHWs) of a linear code C extend the concept of minimum distance, which is the minimum cardinality of the support of all one-dimensional subspaces o…
On the number of minimal and next-to-minimal weight codewords of toric codes over hypersimplices
Cícero Carvalho, Nupur Patanker
Toric codes are a type of evaluation code introduced by J.P. Hansen in 2000. They are produced by evaluating (a vector space composed by) polynomials at the points of $(\mathbb{F}_…
Next-to-minimal weight of toric codes defined over hypersimplices
Cícero Carvalho, Nupur Patanker
Toric codes are a type of evaluation codes introduced by J.P. Hansen in 2000. They are produced by evaluating (a vector space composed by) polynomials at the points of $(\mathbb{F}…
About - primitive and -normal elements in finite fields
Cícero Carvalho, Josimar J. R. Aguirre, Victor G. L. Neumann
In 2013, Huczynska, Mullen, Panario and Thomson introduced the concept of -normal elements: an element is -normal over if the greatest…