Information on Result #615747
Linear OA(9148, 4782969, F9, 24) (dual of [4782969, 4782821, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24
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 OOA(9148, 2690518, F9, 2, 24) (dual of [(2690518, 2), 5380888, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9148, 2690518, F9, 3, 24) (dual of [(2690518, 3), 8071406, 25]-NRT-code) | [i] | ||
| 3 | Digital (124, 148, 2690518)-net over F9 | [i] | ||
| 4 | Linear OA(9148, 4782976, F9, 24) (dual of [4782976, 4782828, 25]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(9149, 4782984, F9, 24) (dual of [4782984, 4782835, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(9150, 4782986, F9, 24) (dual of [4782986, 4782836, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |