GRACE - 2013

Section: New Results

New Identities relating Goppa codes

Goppa codes are strongly related to AG codes based on curves of genus 0. Among other applications, these codes are very famous for their cryptographic potential: they are one of the very few families of algebraic codes proposed for the McEliece encryption scheme which have not been broken up to now. At least for this reason, getting further knowledge on the structure of such codes is of interest. In [19] , Alain Couvreur, A. Otmani and J.-P. Tillich proved a new identity yielding many improvements in the designed parameters of Goppa codes.