Information on Result #719625
Linear OA(954, 728, F9, 20) (dual of [728, 674, 21]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(954, 600, F9, 2, 20) (dual of [(600, 2), 1146, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(954, 600, F9, 3, 20) (dual of [(600, 3), 1746, 21]-NRT-code) | [i] | ||
| 3 | Digital (34, 54, 600)-net over F9 | [i] | ||
| 4 | Linear OA(964, 744, F9, 23) (dual of [744, 680, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(969, 749, F9, 24) (dual of [749, 680, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(978, 758, F9, 26) (dual of [758, 680, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(983, 763, F9, 27) (dual of [763, 680, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(9115, 789, F9, 35) (dual of [789, 674, 36]-code) | [i] | ✔ | |