Information on Result #707766
Linear OA(476, 1023, F4, 20) (dual of [1023, 947, 21]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {323,324,…,342}, and designed minimum distance d ≥ |I|+1 = 21
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(476, 799, F4, 2, 20) (dual of [(799, 2), 1522, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(476, 799, F4, 3, 20) (dual of [(799, 3), 2321, 21]-NRT-code) | [i] | ||
| 3 | Digital (56, 76, 799)-net over F4 | [i] | ||
| 4 | Linear OA(481, 1047, F4, 20) (dual of [1047, 966, 21]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(480, 1045, F4, 20) (dual of [1045, 965, 21]-code) | [i] | ✔ | |
| 6 | Linear OA(482, 1034, F4, 22) (dual of [1034, 952, 23]-code) | [i] | ✔ | |
| 7 | Linear OA(490, 1047, F4, 23) (dual of [1047, 957, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(489, 1039, F4, 23) (dual of [1039, 950, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(496, 1047, F4, 24) (dual of [1047, 951, 25]-code) | [i] | ✔ | |
| 10 | Linear OA(489, 1041, F4, 23) (dual of [1041, 952, 24]-code) | [i] | ✔ | |
| 11 | Linear OA(497, 1054, F4, 24) (dual of [1054, 957, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(496, 1051, F4, 24) (dual of [1051, 955, 25]-code) | [i] | ✔ | |
| 13 | Linear OA(495, 1045, F4, 24) (dual of [1045, 950, 25]-code) | [i] | ✔ | |
| 14 | Linear OA(4115, 1066, F4, 27) (dual of [1066, 951, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(4114, 1064, F4, 27) (dual of [1064, 950, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(4106, 1058, F4, 26) (dual of [1058, 952, 27]-code) | [i] | ✔ | |
| 17 | Linear OA(4115, 1070, F4, 27) (dual of [1070, 955, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(4114, 1068, F4, 27) (dual of [1068, 954, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(4113, 1062, F4, 27) (dual of [1062, 949, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(495, 1042, F4, 25) (dual of [1042, 947, 26]-code) | [i] | ✔ | |
| 21 | Linear OA(4120, 1065, F4, 29) (dual of [1065, 945, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(4119, 1063, F4, 29) (dual of [1063, 944, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(4127, 1072, F4, 30) (dual of [1072, 945, 31]-code) | [i] | ✔ | |
| 24 | Linear OA(4126, 1070, F4, 30) (dual of [1070, 944, 31]-code) | [i] | ✔ | |
| 25 | Linear OA(4144, 1089, F4, 33) (dual of [1089, 945, 34]-code) | [i] | ✔ | |
| 26 | Linear OA(4143, 1087, F4, 33) (dual of [1087, 944, 34]-code) | [i] | ✔ | |