Information on Result #689267
Linear OA(9131, 59050, F9, 29) (dual of [59050, 58919, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 59050 | 910−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound)
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(9131, 53665, F9, 2, 29) (dual of [(53665, 2), 107199, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9131, 53665, F9, 3, 29) (dual of [(53665, 3), 160864, 30]-NRT-code) | [i] | ||
| 3 | Digital (102, 131, 53665)-net over F9 | [i] | ||
| 4 | Linear OA(9142, 59061, F9, 31) (dual of [59061, 58919, 32]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(9132, 59061, F9, 29) (dual of [59061, 58929, 30]-code) | [i] | ✔ | |
| 6 | Linear OA(9135, 59074, F9, 29) (dual of [59074, 58939, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(9138, 59087, F9, 29) (dual of [59087, 58949, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(9144, 59103, F9, 29) (dual of [59103, 58959, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(9141, 59091, F9, 28) (dual of [59091, 58950, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(9142, 59101, F9, 28) (dual of [59101, 58959, 29]-code) | [i] | ✔ | |
| 11 | Linear OA(9147, 59116, F9, 29) (dual of [59116, 58969, 30]-code) | [i] | ✔ | |