Information on Result #615828
Linear OA(9131, 59049, F9, 30) (dual of [59049, 58918, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(9146, 59065, F9, 30) (dual of [59065, 58919, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9147, 59067, F9, 30) (dual of [59067, 58920, 31]-code) | [i] | ||
| 3 | Linear OA(9148, 59069, F9, 30) (dual of [59069, 58921, 31]-code) | [i] | ||
| 4 | Linear OA(9149, 59077, F9, 30) (dual of [59077, 58928, 31]-code) | [i] | ||
| 5 | Linear OA(9150, 59079, F9, 30) (dual of [59079, 58929, 31]-code) | [i] | ||
| 6 | Linear OOA(9131, 38031, F9, 2, 30) (dual of [(38031, 2), 75931, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(9131, 38031, F9, 3, 30) (dual of [(38031, 3), 113962, 31]-NRT-code) | [i] | ||
| 8 | Digital (101, 131, 38031)-net over F9 | [i] | ||
| 9 | Linear OA(9136, 59054, F9, 31) (dual of [59054, 58918, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(9131, 59054, F9, 30) (dual of [59054, 58923, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(9142, 59060, F9, 32) (dual of [59060, 58918, 33]-code) | [i] | ✔ | |
| 12 | Linear OA(9132, 59060, F9, 30) (dual of [59060, 58928, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(9149, 59067, F9, 33) (dual of [59067, 58918, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(9135, 59068, F9, 30) (dual of [59068, 58933, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(9137, 59075, F9, 30) (dual of [59075, 58938, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(9138, 59081, F9, 30) (dual of [59081, 58943, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(9141, 59089, F9, 30) (dual of [59089, 58948, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(9144, 59097, F9, 30) (dual of [59097, 58953, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(9146, 59104, F9, 30) (dual of [59104, 58958, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(9147, 59110, F9, 30) (dual of [59110, 58963, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(9148, 59116, F9, 30) (dual of [59116, 58968, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(9143, 59096, F9, 30) (dual of [59096, 58953, 31]-code) | [i] | ✔ | |
| 23 | Linear OA(9140, 59088, F9, 30) (dual of [59088, 58948, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(9148, 59062, F9, 33) (dual of [59062, 58914, 34]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(9143, 59062, F9, 32) (dual of [59062, 58919, 33]-code) | [i] | ✔ | |
| 26 | Linear OA(9134, 59063, F9, 30) (dual of [59063, 58929, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(9136, 59070, F9, 30) (dual of [59070, 58934, 31]-code) | [i] | ✔ | |
| 28 | Linear OOA(9131, 3936, F9, 30, 30) (dual of [(3936, 30), 117949, 31]-NRT-code) | [i] | OA Folding and Stacking | |