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

Authors

Sanja Rukavina, Faculty of Mathematics, University of Rijeka
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

6-2024

Department

Department of Mathematical Sciences

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.

Publisher's Statement

© 2023 The Author(s). Publisher’s version of record: https://doi.org/10.1016/j.exco.2023.100130

Publication Title

Examples and Counterexamples

Recommended Citation

Rukavina, S., & Tonchev, V. (2024). New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs. Examples and Counterexamples, 5. http://doi.org/10.1016/j.exco.2023.100130
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/395

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Version

Publisher's PDF