Information on Result #720000
Linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {72,73,…,101}, and designed minimum distance d ≥ |I|+1 = 31
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(979, 628, F9, 2, 30) (dual of [(628, 2), 1177, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(979, 628, F9, 3, 30) (dual of [(628, 3), 1805, 31]-NRT-code) | [i] | ||
| 3 | Digital (49, 79, 628)-net over F9 | [i] | ||
| 4 | Linear OA(9118, 788, F9, 36) (dual of [788, 670, 37]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(9116, 783, F9, 36) (dual of [783, 667, 37]-code) | [i] | ✔ | |
| 6 | Linear OA(9115, 781, F9, 36) (dual of [781, 666, 37]-code) | [i] | ✔ | |
| 7 | Linear OA(9116, 786, F9, 36) (dual of [786, 670, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(9115, 783, F9, 36) (dual of [783, 668, 37]-code) | [i] | ✔ | |
| 9 | Linear OA(9114, 781, F9, 36) (dual of [781, 667, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(9113, 780, F9, 36) (dual of [780, 667, 37]-code) | [i] | ✔ | |