Information on Result #707858
Linear OA(471, 1023, F4, 19) (dual of [1023, 952, 20]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20
Mode: Constructive and linear.
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 BCH-Codes (hidden) [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(4105, 1077, F4, 24) (dual of [1077, 972, 25]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4104, 1071, F4, 24) (dual of [1071, 967, 25]-code) | [i] | ✔ | |
| 6 | Linear OA(495, 1060, F4, 23) (dual of [1060, 965, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(476, 1033, F4, 20) (dual of [1033, 957, 21]-code) | [i] | ✔ | |
| 8 | Linear OA(4103, 1070, F4, 24) (dual of [1070, 967, 25]-code) | [i] | ✔ | |
| 9 | Linear OA(492, 1054, F4, 23) (dual of [1054, 962, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(491, 1051, F4, 23) (dual of [1051, 960, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(499, 1061, F4, 24) (dual of [1061, 962, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(498, 1055, F4, 24) (dual of [1055, 957, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(490, 1045, F4, 23) (dual of [1045, 955, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(497, 1049, F4, 24) (dual of [1049, 952, 25]-code) | [i] | ✔ | |
| 15 | Linear OA(488, 1040, F4, 23) (dual of [1040, 952, 24]-code) | [i] | ✔ | |
| 16 | Linear OA(497, 1049, F4, 25) (dual of [1049, 952, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(495, 1047, F4, 24) (dual of [1047, 952, 25]-code) | [i] | ✔ | |
| 18 | Linear OA(496, 1046, F4, 25) (dual of [1046, 950, 26]-code) | [i] | ✔ | |
| 19 | Linear OA(4104, 1056, F4, 26) (dual of [1056, 952, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(4112, 1063, F4, 27) (dual of [1063, 951, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(4103, 1053, F4, 26) (dual of [1053, 950, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(4111, 1063, F4, 27) (dual of [1063, 952, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(4110, 1057, F4, 27) (dual of [1057, 947, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(4119, 1070, F4, 28) (dual of [1070, 951, 29]-code) | [i] | ✔ | |
| 25 | Linear OA(4110, 1060, F4, 27) (dual of [1060, 950, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(4118, 1070, F4, 28) (dual of [1070, 952, 29]-code) | [i] | ✔ | |
| 27 | Linear OA(4136, 1087, F4, 31) (dual of [1087, 951, 32]-code) | [i] | ✔ | |