Information on Result #689336
Linear OA(9111, 59049, F9, 25) (dual of [59049, 58938, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 59048 = 95−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
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(9111, 43152, F9, 2, 25) (dual of [(43152, 2), 86193, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9111, 43152, F9, 3, 25) (dual of [(43152, 3), 129345, 26]-NRT-code) | [i] | ||
| 3 | Digital (86, 111, 43152)-net over F9 | [i] | ||
| 4 | Linear OA(9116, 59054, F9, 26) (dual of [59054, 58938, 27]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9111, 59054, F9, 25) (dual of [59054, 58943, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(9123, 59059, F9, 28) (dual of [59059, 58936, 29]-code) | [i] | ✔ | |
| 7 | Linear OA(9124, 59062, F9, 28) (dual of [59062, 58938, 29]-code) | [i] | ✔ | |
| 8 | Linear OA(9130, 59068, F9, 29) (dual of [59068, 58938, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(9114, 59067, F9, 25) (dual of [59067, 58953, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(9137, 59075, F9, 30) (dual of [59075, 58938, 31]-code) | [i] | ✔ | |
| 11 | Linear OA(9143, 59081, F9, 31) (dual of [59081, 58938, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(9117, 59080, F9, 25) (dual of [59080, 58963, 26]-code) | [i] | ✔ | |
| 13 | Linear OA(9124, 59097, F9, 25) (dual of [59097, 58973, 26]-code) | [i] | ✔ | |
| 14 | Linear OA(9126, 59104, F9, 25) (dual of [59104, 58978, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(9127, 59110, F9, 25) (dual of [59110, 58983, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(9128, 59116, F9, 25) (dual of [59116, 58988, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(9129, 59122, F9, 25) (dual of [59122, 58993, 26]-code) | [i] | ✔ | |
| 18 | Linear OA(9123, 59096, F9, 25) (dual of [59096, 58973, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(9136, 59070, F9, 30) (dual of [59070, 58934, 31]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(9131, 59070, F9, 29) (dual of [59070, 58939, 30]-code) | [i] | ✔ | |