Information on Result #719289
Linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−2,−1,…,20}, and designed minimum distance d ≥ |I|+1 = 24
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 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]
- 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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(961, 567, F9, 2, 23) (dual of [(567, 2), 1073, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(961, 567, F9, 3, 23) (dual of [(567, 3), 1640, 24]-NRT-code) | [i] | ||
| 3 | Digital (38, 61, 567)-net over F9 | [i] | ||
| 4 | Linear OA(972, 761, F9, 23) (dual of [761, 689, 24]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(964, 744, F9, 23) (dual of [744, 680, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(963, 742, F9, 23) (dual of [742, 679, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(962, 738, F9, 23) (dual of [738, 676, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(965, 738, F9, 24) (dual of [738, 673, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(969, 742, F9, 25) (dual of [742, 673, 26]-code) | [i] | ✔ | |