Information on Result #707644
Linear OA(471, 1023, F4, 19) (dual of [1023, 952, 20]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {331,332,…,349}, and designed minimum distance d ≥ |I|+1 = 20
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 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(471, 708, F4, 2, 19) (dual of [(708, 2), 1345, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(471, 708, F4, 3, 19) (dual of [(708, 3), 2053, 20]-NRT-code) | [i] | ||
| 3 | Digital (52, 71, 708)-net over F4 | [i] | ||
| 4 | Linear OA(484, 1068, F4, 19) (dual of [1068, 984, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(490, 1065, F4, 21) (dual of [1065, 975, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(489, 1063, F4, 21) (dual of [1063, 974, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(496, 1070, F4, 22) (dual of [1070, 974, 23]-code) | [i] | ✔ | |
| 8 | Linear OA(487, 1059, F4, 21) (dual of [1059, 972, 22]-code) | [i] | ✔ | |