Information on Result #707678
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 = {−5,−4,…,13}, 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, 1071, F4, 19) (dual of [1071, 987, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
5 | Linear OA(483, 1070, F4, 19) (dual of [1070, 987, 20]-code) | [i] | ✔ | |
6 | Linear OA(481, 1063, F4, 19) (dual of [1063, 982, 20]-code) | [i] | ✔ | |
7 | Linear OA(480, 1057, F4, 19) (dual of [1057, 977, 20]-code) | [i] | ✔ | |
8 | Linear OA(478, 1055, F4, 19) (dual of [1055, 977, 20]-code) | [i] | ✔ | |
9 | Linear OA(477, 1049, F4, 19) (dual of [1049, 972, 20]-code) | [i] | ✔ | |
10 | Linear OA(482, 1049, F4, 20) (dual of [1049, 967, 21]-code) | [i] | ✔ | |
11 | Linear OA(494, 1067, F4, 22) (dual of [1067, 973, 23]-code) | [i] | ✔ | |
12 | Linear OA(491, 1063, F4, 22) (dual of [1063, 972, 23]-code) | [i] | ✔ | |
13 | Linear OA(490, 1057, F4, 22) (dual of [1057, 967, 23]-code) | [i] | ✔ | |
14 | Linear OA(498, 1070, F4, 23) (dual of [1070, 972, 24]-code) | [i] | ✔ | |
15 | Linear OA(4105, 1077, F4, 24) (dual of [1077, 972, 25]-code) | [i] | ✔ | |
16 | Linear OA(4104, 1071, F4, 24) (dual of [1071, 967, 25]-code) | [i] | ✔ |