6533b870fe1ef96bd12d0543

RESEARCH PRODUCT

Automorphisms of hyperelliptic GAG-codes

Alberto PiconeAntonino Giorgio Spera

subject

Abelian varietyDiscrete mathematicsautomorphismsGroup (mathematics)Applied Mathematicsgeneralized algebraic geometry codes.Outer automorphism groupReductive groupAutomorphismTheoretical Computer ScienceCombinatoricsMathematics::Group Theorygeometric Goppa codeAlgebraic groupDiscrete Mathematics and Combinatoricsalgebraic function fieldsSettore MAT/03 - GeometriaIsomorphismfinite fieldsGeometric Goppa codesfinite fieldalgebraic function fieldHyperelliptic curvegeneralized algebraic-geometry codesMathematics

description

Abstract We determine the n –automorphism group of generalized algebraic-geometry codes associated with rational, elliptic and hyperelliptic function fields. Such group is, up to isomorphism, a subgroup of the automorphism group of the underlying function field.

yearjournalcountryeditionlanguage
2009-01-01Discrete Mathematics
https://doi.org/10.1016/j.disc.2007.12.013