New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909129211117568 |
|---|---|
| author | Rukavina, Sanja Tonchev, Vladimir D. |
| author_facet | Rukavina, Sanja Tonchev, Vladimir D. |
| contents | In a recent paper [M. Araya, M. Harada, Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes, Des. Codes Cryptogr., 91 (2023), 1813--1843], Araya and Harada gave examples of self-dual near-extremal ternary codes of length 48 for $145$ distinct values of the number $A_{12}$ of codewords of minimum weight 12, and raised the question about the existence of codes for other values of $A_{12}$. 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 $A_{12}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18796 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs Rukavina, Sanja Tonchev, Vladimir D. Combinatorics 05B05, 05B20, 94B05 In a recent paper [M. Araya, M. Harada, Some restrictions on the weight enumerators of near-extremal ternary self-dual codes and quaternary Hermitian self-dual codes, Des. Codes Cryptogr., 91 (2023), 1813--1843], Araya and Harada gave examples of self-dual near-extremal ternary codes of length 48 for $145$ distinct values of the number $A_{12}$ of codewords of minimum weight 12, and raised the question about the existence of codes for other values of $A_{12}$. 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 $A_{12}$. |
| title | New examples of self-dual near-extremal ternary codes of length 48 derived from 2-(47,23,11) designs |
| topic | Combinatorics 05B05, 05B20, 94B05 |
| url | https://arxiv.org/abs/2310.18796 |