New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs

Abstract

In a recent paper (Araya and Harada, 2023), Araya and Harada gave examples of self-dual near-extremal ternary codes of length 48 for 145 distinct values of the number A12 of codewords of minimum weight 12, and raised the question about the existence of codes for other values of A12. In this note, we use symmetric 2-(47,23,11) designs with an automorphism group of order 6 to construct self-dual near-extremal ternary codes of length 48 for 150 new values of A12.

Keywords

• Self-dual code
• Near-extremal code
• Symmetric 2-design
• Automorphism group