Two-Point AG Codes on the GK Maximal Curves
Alonso S. Castellanos, Guilherme Tizziotti · IEEE Transactions on Information Theory · 2015
We determine the Weierstrass semigroup of a pair of certain rational points on the Giulietti-Korchmáros maximal curves. We use this semigroup to obtain two-point algebraic geometric (AG) codes with better parameters than comparable one-point AG codes arising from these curves. These parameters are new records in the MinT's tables.