On linear codes whose hermitian hulls are MDS

• Main Authors: Luo, Gaojun, Sok, Lin, Ezerman, Martianus Frederic, Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2024
• Subjects: Mathematical Sciences; Algebraic geometry codes; Hermitian inner product; Hull of linear code; MDS codes; Generalized reed-solomon codes
• Online Access: https://hdl.handle.net/10356/174997
• Institution: Nanyang Technological University

Hermitian hulls of linear codes are interesting for theoretical and practical reasons alike. In terms of recent application, linear codes whose hulls meet certain conditions have been utilized as ingredients to construct entanglement-assisted quantum error correcting codes. This family of quantum co...