On the weights of linear codes with prescribed automorphisms

• Main Authors: Luo, Gaojun, Cao, Xiwang, Ezerman, Martianus Frederic, Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2024
• Subjects: Mathematical Sciences; Automorphism; Covering radius; Hamming weight; Linear code; Upper bound
• Online Access: https://hdl.handle.net/10356/174998
• Institution: Nanyang Technological University

The number of nonzero weights of a linear code is essential in coding theory as it unveils salient properties of the code, such as its covering radius. In this paper, we establish two upper bounds on the number of nonzero weights of a linear code with prescribed automorphism. Our bounds are applicab...