Quantum codes from algebraic curves with automorphisms

• Published in: Condensed Matter Physics
• Date: 2008
• Main Author: Shaska, T.
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119289
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quantum codes from algebraic curves with automorphisms / T. Shaska // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 383-396. — Бібліогр.: 18 назв. — англ.

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...