Information on Result #688979
Linear OA(9141, 4782969, F9, 23) (dual of [4782969, 4782828, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, 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(9141, 2494694, F9, 2, 23) (dual of [(2494694, 2), 4989247, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9141, 2494694, F9, 3, 23) (dual of [(2494694, 3), 7483941, 24]-NRT-code) | [i] | ||
| 3 | Digital (118, 141, 2494694)-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(9141, 4782976, F9, 23) (dual of [4782976, 4782835, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(9144, 4782993, F9, 23) (dual of [4782993, 4782849, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(9148, 4783011, F9, 23) (dual of [4783011, 4782863, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(9142, 4782992, F9, 22) (dual of [4782992, 4782850, 23]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 9 | Linear OOA(9141, 434815, F9, 23, 23) (dual of [(434815, 23), 10000604, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |