Four new families of quantum stabilizer codes from hermitian self-orthogonal MDS codes

• Main Authors: Sok, Lin, Ezerman, Martianus Frederic, Ling, San
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Conference or Workshop Item
• 語言: English
• 出版: 2024
• 主題: Mathematical Sciences; Quantum codes; MDS code; Algebraic geometry code; Self-orthogonal code; Reed-solomon code
• 在線閱讀: https://hdl.handle.net/10356/175000
• 機構: Nanyang Technological University

We construct codes from rational function fields and provide sufficient conditions for a rational algebraic geometry code to be Hermitian self-orthogonal. A method to embed such codes yields new families of Hermitian self-orthogonal MDS codes with large dimensions. Using the stabilizer formalism, we...