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math.AG2006
The structure of algebras admitting well agreeing near weights
Carlos Munuera, Fernando Torres
We characterize algebras admitting two well agreeing near weights and . We show that such an algebra is an integral domain whose quotient field is an algebra…
math.AG2003
Bounding the trellis state complexity of algebraic geometric codes
Carlos Munuera, Fernando Torres
Let C be an algebraic geometric code of dimension k and length n constructed on a curve X over . Let s(C) be the state complexity of C and set w(C):=min{k,n-k}, the Wolf upper…
math.AG2002
A Goppa-like bound on the trellis state complexity of algebraic geometric codes
Carlos Munuera, Fernando Torres
For a linear code $\cC$ of length and dimension , Wolf noticed that the trellis state complexity $s(\cC)$ of $\cC$ is upper bounded by $w(\cC):=\min(k,n-k)$. In this paper w…