Information on Result #719047
Linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {82,83,…,95}, and designed minimum distance d ≥ |I|+1 = 15
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(937, 476, F9, 2, 14) (dual of [(476, 2), 915, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(937, 476, F9, 3, 14) (dual of [(476, 3), 1391, 15]-NRT-code) | [i] | ||
| 3 | Digital (23, 37, 476)-net over F9 | [i] | ||
| 4 | Linear OA(946, 760, F9, 14) (dual of [760, 714, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(956, 752, F9, 19) (dual of [752, 696, 20]-code) | [i] | ✔ | |
| 6 | Linear OA(955, 748, F9, 19) (dual of [748, 693, 20]-code) | [i] | ✔ | |