Information on Result #719445
Linear OA(933, 728, F9, 12) (dual of [728, 695, 13]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(933, 635, F9, 2, 12) (dual of [(635, 2), 1237, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(933, 635, F9, 3, 12) (dual of [(635, 3), 1872, 13]-NRT-code) | [i] | ||
| 3 | Digital (21, 33, 635)-net over F9 | [i] | ||
| 4 | Linear OA(978, 773, F9, 24) (dual of [773, 695, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(983, 778, F9, 25) (dual of [778, 695, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(987, 778, F9, 26) (dual of [778, 691, 27]-code) | [i] | ✔ | |