Information on Result #708885
Linear OA(4181, 1023, F4, 49) (dual of [1023, 842, 50]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {301,302,…,349}, and designed minimum distance d ≥ |I|+1 = 50
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 Expurgated Narrow-Sense BCH-Codes [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 OA(4204, 1089, F4, 49) (dual of [1089, 885, 50]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4203, 1087, F4, 49) (dual of [1087, 884, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(4199, 1079, F4, 49) (dual of [1079, 880, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(4198, 1077, F4, 49) (dual of [1077, 879, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(4197, 1072, F4, 49) (dual of [1072, 875, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(4196, 1070, F4, 49) (dual of [1070, 874, 50]-code) | [i] | ✔ | |
| 7 | Linear OA(4195, 1065, F4, 49) (dual of [1065, 870, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(4194, 1063, F4, 49) (dual of [1063, 869, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(4201, 1083, F4, 49) (dual of [1083, 882, 50]-code) | [i] | ✔ | |
| 10 | Linear OA(4196, 1073, F4, 49) (dual of [1073, 877, 50]-code) | [i] | ✔ | |
| 11 | Linear OA(4195, 1067, F4, 49) (dual of [1067, 872, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(4194, 1066, F4, 49) (dual of [1066, 872, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(4193, 1060, F4, 49) (dual of [1060, 867, 50]-code) | [i] | ✔ | |
| 14 | Linear OA(4192, 1059, F4, 49) (dual of [1059, 867, 50]-code) | [i] | ✔ | |
| 15 | Linear OA(4205, 1070, F4, 51) (dual of [1070, 865, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(4204, 1068, F4, 51) (dual of [1068, 864, 52]-code) | [i] | ✔ | |
| 17 | Linear OA(4214, 1079, F4, 53) (dual of [1079, 865, 54]-code) | [i] | ✔ | |
| 18 | Linear OA(4213, 1077, F4, 53) (dual of [1077, 864, 54]-code) | [i] | ✔ | |
| 19 | Linear OA(4221, 1086, F4, 54) (dual of [1086, 865, 55]-code) | [i] | ✔ | |
| 20 | Linear OA(4220, 1084, F4, 54) (dual of [1084, 864, 55]-code) | [i] | ✔ | |
| 21 | Linear OA(4211, 1073, F4, 53) (dual of [1073, 862, 54]-code) | [i] | ✔ | |
| 22 | Linear OA(4210, 1067, F4, 53) (dual of [1067, 857, 54]-code) | [i] | ✔ | |
| 23 | Linear OA(4218, 1080, F4, 54) (dual of [1080, 862, 55]-code) | [i] | ✔ | |
| 24 | Linear OOA(4181, 341, F4, 3, 49) (dual of [(341, 3), 842, 50]-NRT-code) | [i] | OOA Folding | |