New Identities Relating Wild Goppa Codes

Alain Couvreur, Ayoub Otmani, Jean-Pierre Tillich

For a given support $L\in {\mathbb{F}}_{q^m}^n$ and a polynomial $g\in {\mathbb{F}}_{q^m}[x]$ with no roots in ${\mathbb{F}}_{q^m}$, we prove equality between the $q$-ary Goppa codes $Γ…