Information on Result #689339
Linear OA(9101, 59049, F9, 23) (dual of [59049, 58948, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 OOA(9101, 37956, F9, 2, 23) (dual of [(37956, 2), 75811, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9101, 37956, F9, 3, 23) (dual of [(37956, 3), 113767, 24]-NRT-code) | [i] | ||
| 3 | Digital (78, 101, 37956)-net over F9 | [i] | ||
| 4 | Linear OA(9106, 59054, F9, 24) (dual of [59054, 58948, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9101, 59054, F9, 23) (dual of [59054, 58953, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(9119, 59067, F9, 26) (dual of [59067, 58948, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(9104, 59067, F9, 23) (dual of [59067, 58963, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(9127, 59075, F9, 28) (dual of [59075, 58948, 29]-code) | [i] | ✔ | |
| 9 | Linear OA(9133, 59081, F9, 29) (dual of [59081, 58948, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(9108, 59081, F9, 23) (dual of [59081, 58973, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(9141, 59089, F9, 30) (dual of [59089, 58948, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(9111, 59089, F9, 23) (dual of [59089, 58978, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(9149, 59097, F9, 31) (dual of [59097, 58948, 32]-code) | [i] | ✔ | |
| 14 | Linear OA(9114, 59097, F9, 23) (dual of [59097, 58983, 24]-code) | [i] | ✔ | |
| 15 | Linear OA(9116, 59104, F9, 23) (dual of [59104, 58988, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(9117, 59110, F9, 23) (dual of [59110, 58993, 24]-code) | [i] | ✔ | |
| 17 | Linear OA(9118, 59116, F9, 23) (dual of [59116, 58998, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(9148, 59096, F9, 31) (dual of [59096, 58948, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(9113, 59096, F9, 23) (dual of [59096, 58983, 24]-code) | [i] | ✔ | |
| 20 | Linear OA(9140, 59088, F9, 30) (dual of [59088, 58948, 31]-code) | [i] | ✔ | |
| 21 | Linear OA(9126, 59070, F9, 28) (dual of [59070, 58944, 29]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 22 | Linear OA(9118, 59062, F9, 26) (dual of [59062, 58944, 27]-code) | [i] | ✔ | |
| 23 | Linear OOA(9101, 5368, F9, 23, 23) (dual of [(5368, 23), 123363, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |