2010/02/09 by Anna Oneto, Oneto, Anna, Grazia Tamone +1
Computer Science · Mathematics · #13F #Commutative Algebra (math.AC) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #cs.DM #cs.IT #math.AC #math.IT #msc:13F
paper · pdf · doi:10.48550/arxiv.1002.1744
arxiv created 2010/02/09 · arxiv updated 2010/02/26
We study suitable parameters and relations in a numerical semigroup S. When S is the Weierstrass semigroup at a rational point P of a projective curve C, we evaluate the Feng-Rao order bound of the associated family of Goppa codes. Further we conjecture that the order bound is always greater than a fixed value easily deduced from the parameters of the semigroup: we also prove this inequality in several cases.