QUANTUM CODES FROM SUPERELLIPTIC CURVES
Artur Elezi, Tony Shaska · Albanian Journal of Mathematics · 2011
Let X be an algebraic curve of genus g≥2 defined over a field Fq of characteristic p>0. From X, under certain conditions, we can construct an algebraic geometry code CX. When this code (or its dual) is self-orthogonal under the symplectic product, a quantum algebraic geometry code QX is constructed. In this paper we study the construction of such codes from curves with automorphisms and the relation between the automorphism group of the curve X and the codes CX and QX.