Information on Result #707814
Linear OA(491, 1023, F4, 24) (dual of [1023, 932, 25]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,17}, and designed minimum distance d ≥ |I|+1 = 25
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(491, 860, F4, 2, 24) (dual of [(860, 2), 1629, 25]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(491, 860, F4, 3, 24) (dual of [(860, 3), 2489, 25]-NRT-code) | [i] | ||
| 3 | Digital (67, 91, 860)-net over F4 | [i] | ||
| 4 | Linear OA(4103, 1062, F4, 24) (dual of [1062, 959, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4106, 1077, F4, 24) (dual of [1077, 971, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(4104, 1070, F4, 24) (dual of [1070, 966, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(4101, 1062, F4, 24) (dual of [1062, 961, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(4117, 1072, F4, 27) (dual of [1072, 955, 28]-code) | [i] | ✔ | |
| 9 | Linear OA(4116, 1070, F4, 27) (dual of [1070, 954, 28]-code) | [i] | ✔ | |
| 10 | Linear OA(4114, 1070, F4, 27) (dual of [1070, 956, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(4123, 1077, F4, 28) (dual of [1077, 954, 29]-code) | [i] | ✔ | |
| 12 | Linear OA(4121, 1077, F4, 28) (dual of [1077, 956, 29]-code) | [i] | ✔ | |