Information on Result #708978
Linear OA(4191, 1023, F4, 51) (dual of [1023, 832, 52]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {292,293,…,342}, and designed minimum distance d ≥ |I|+1 = 52
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]
- 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 OA(4205, 1066, F4, 51) (dual of [1066, 861, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4204, 1064, F4, 51) (dual of [1064, 860, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(4203, 1062, F4, 51) (dual of [1062, 859, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(4194, 1041, F4, 51) (dual of [1041, 847, 52]-code) | [i] | ✔ | |
| 5 | Linear OA(4204, 1041, F4, 54) (dual of [1041, 837, 55]-code) | [i] | ✔ | |
| 6 | Linear OA(4203, 1033, F4, 54) (dual of [1033, 830, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(4236, 1086, F4, 58) (dual of [1086, 850, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(4235, 1084, F4, 58) (dual of [1084, 849, 59]-code) | [i] | ✔ | |
| 9 | Linear OA(4234, 1079, F4, 58) (dual of [1079, 845, 59]-code) | [i] | ✔ | |
| 10 | Linear OA(4233, 1077, F4, 58) (dual of [1077, 844, 59]-code) | [i] | ✔ | |
| 11 | Linear OA(4232, 1072, F4, 58) (dual of [1072, 840, 59]-code) | [i] | ✔ | |
| 12 | Linear OA(4231, 1070, F4, 58) (dual of [1070, 839, 59]-code) | [i] | ✔ | |
| 13 | Linear OA(4230, 1066, F4, 58) (dual of [1066, 836, 59]-code) | [i] | ✔ | |
| 14 | Linear OA(4229, 1064, F4, 58) (dual of [1064, 835, 59]-code) | [i] | ✔ | |
| 15 | Linear OA(4228, 1062, F4, 58) (dual of [1062, 834, 59]-code) | [i] | ✔ | |
| 16 | Linear OA(4242, 1072, F4, 61) (dual of [1072, 830, 62]-code) | [i] | ✔ | |
| 17 | Linear OA(4241, 1070, F4, 61) (dual of [1070, 829, 62]-code) | [i] | ✔ | |
| 18 | Linear OA(4249, 1079, F4, 62) (dual of [1079, 830, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(4248, 1077, F4, 62) (dual of [1077, 829, 63]-code) | [i] | ✔ | |
| 20 | Linear OA(4256, 1086, F4, 63) (dual of [1086, 830, 64]-code) | [i] | ✔ | |
| 21 | Linear OA(4255, 1084, F4, 63) (dual of [1084, 829, 64]-code) | [i] | ✔ | |