New stabilizer codes with parameters better than the ones available in the literature are
provided in this work, in particular quantum codes with parameters 127, 63, ≥ 12 _2 127 …

Self-orthogonal J-affine variety codes have been successfully used to obtain quantum
stabilizer codes with excellent parameters. In a previous paper we gave formulae for the …

We consider surfaces X defined by plane divisorial valuations ν of the quotient field of the
local ring R at a closed point p of the projective plane P 2 over an arbitrary algebraically …

We show that the Feng–Rao bound for dual codes and a similar bound by Andersen and
Geil (2008)[1] for primary codes are consequences of each other. This implies that the Feng …

We introduce a new class of evaluation linear codes by evaluating polynomials at the roots
of a suitable trace function. We give conditions for self-orthogonality of these codes and their …

We introduce the concepts of non-positive and negative at infinity plane valuation of a
Hirzebruch surface and determine nice global and local geometric properties of the surfaces …

Plane valuations at infinity are classified in five types. Valuations in one of them determine
weight functions which take values on semigroups of\mathbb Z^ 2 Z 2. These semigroups …

Evaluation codes are a particular construction of error-correcting codes, consisting of
evaluating functions at rational places of certain geometric objects. Classical examples are …