Information on Result #707698
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 = {−4,−3,…,14}, 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(479, 1057, F4, 19) (dual of [1057, 978, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(480, 1060, F4, 19) (dual of [1060, 980, 20]-code) | [i] | ✔ | |
6 | Linear OA(477, 1054, F4, 19) (dual of [1054, 977, 20]-code) | [i] | ✔ | |
7 | Linear OA(476, 1051, F4, 19) (dual of [1051, 975, 20]-code) | [i] | ✔ | |
8 | Linear OA(475, 1045, F4, 19) (dual of [1045, 970, 20]-code) | [i] | ✔ | |
9 | Linear OA(484, 1052, F4, 21) (dual of [1052, 968, 22]-code) | [i] | ✔ | |
10 | Linear OA(482, 1050, F4, 20) (dual of [1050, 968, 21]-code) | [i] | ✔ | |
11 | Linear OA(483, 1050, F4, 21) (dual of [1050, 967, 22]-code) | [i] | ✔ | |
12 | Linear OA(481, 1046, F4, 20) (dual of [1046, 965, 21]-code) | [i] | ✔ | |
13 | Linear OA(482, 1049, F4, 21) (dual of [1049, 967, 22]-code) | [i] | ✔ | |
14 | Linear OA(480, 1047, F4, 20) (dual of [1047, 967, 21]-code) | [i] | ✔ | |
15 | Linear OA(481, 1046, F4, 21) (dual of [1046, 965, 22]-code) | [i] | ✔ | |
16 | Linear OA(488, 1053, F4, 22) (dual of [1053, 965, 23]-code) | [i] | ✔ | |
17 | Linear OA(495, 1060, F4, 23) (dual of [1060, 965, 24]-code) | [i] | ✔ |