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

• المؤلفون الرئيسيون: Jin, Lingfei, Xing, Chaoping
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2020
• الموضوعات: Science::Mathematics; Linear Complementary Dual Codes; Algebraic Geometry Codes
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/140042

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...