Three new constructions of optimal linear codes with few weights

• Main Authors: Cheng, Yingjie, Cao, Xiwang, Luo, Gaojun
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2024
• Subjects: Mathematical Sciences; Linear Code; Griesmer Code
• Online Access: https://hdl.handle.net/10356/173494
• Institution: Nanyang Technological University

Linear codes play a key role in widespread applications. In this paper, we propose three new constructions of linear codes. We give some sufficient conditions for the constructed linear codes to be optimal or distance-optimal in terms of the Griesmer bound. Three classes of distance-optimal linear c...