Information on Result #719559
Linear OA(951, 728, F9, 19) (dual of [728, 677, 20]-code), using the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20
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(951, 566, F9, 2, 19) (dual of [(566, 2), 1081, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(951, 566, F9, 3, 19) (dual of [(566, 3), 1647, 20]-NRT-code) | [i] | ||
| 3 | Digital (32, 51, 566)-net over F9 | [i] | ||
| 4 | Linear OA(960, 740, F9, 22) (dual of [740, 680, 23]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(979, 759, F9, 26) (dual of [759, 680, 27]-code) | [i] | ✔ | |