Quantum codes from algebraic curves with automorphisms
Tony Shaska · Condensed Matter Physics · 2008
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 C. If the code C is self-orthogonal under the symplectic product then we can construct a quantum code Q, called a QAG-code.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 C and Q.