Information on Result #707673
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 = {325,326,…,343}, 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(482, 1064, F4, 19) (dual of [1064, 982, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(478, 1035, F4, 21) (dual of [1035, 957, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(4101, 1064, F4, 24) (dual of [1064, 963, 25]-code) | [i] | ✔ | |
| 7 | Linear OA(4106, 1073, F4, 25) (dual of [1073, 967, 26]-code) | [i] | ✔ | |
| 8 | Linear OA(4105, 1067, F4, 25) (dual of [1067, 962, 26]-code) | [i] | ✔ | |
| 9 | Linear OA(4104, 1066, F4, 25) (dual of [1066, 962, 26]-code) | [i] | ✔ | |
| 10 | Linear OA(4103, 1060, F4, 25) (dual of [1060, 957, 26]-code) | [i] | ✔ | |
| 11 | Linear OA(4102, 1059, F4, 25) (dual of [1059, 957, 26]-code) | [i] | ✔ | |
| 12 | Linear OA(4121, 1073, F4, 29) (dual of [1073, 952, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(4120, 1067, F4, 29) (dual of [1067, 947, 30]-code) | [i] | ✔ | |
| 14 | Linear OA(4128, 1080, F4, 30) (dual of [1080, 952, 31]-code) | [i] | ✔ | |