Algebraic geometry codes with complementary duals exceed the asymptotic Gilbert-Varshamov bound

• Main Authors: Jin, Lingfei, Xing, Chaoping
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2020
• Subjects: Science::Mathematics; Linear Complementary Dual Codes; Algebraic Geometry Codes
• Online Access: https://hdl.handle.net/10356/140042
• Institution: Nanyang Technological University

It was shown by Massey that linear complementary dual (LCD) codes are asymptotically good. In 2004, Sendrier proved that LCD codes meet the asymptotic Gilbert-Varshamov (GV) bound. Until now, the GV bound still remains to be the best asymptotical lower bound for LCD codes. In this paper, we show tha...