Information on Result #708973
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 = {299,300,…,349}, 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(4211, 1086, F4, 51) (dual of [1086, 875, 52]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4205, 1070, F4, 51) (dual of [1070, 865, 52]-code) | [i] | ✔ | |
| 3 | Linear OA(4204, 1068, F4, 51) (dual of [1068, 864, 52]-code) | [i] | ✔ | |
| 4 | Linear OA(4210, 1065, F4, 53) (dual of [1065, 855, 54]-code) | [i] | ✔ | |
| 5 | Linear OA(4209, 1063, F4, 53) (dual of [1063, 854, 54]-code) | [i] | ✔ | |
| 6 | Linear OA(4217, 1072, F4, 54) (dual of [1072, 855, 55]-code) | [i] | ✔ | |
| 7 | Linear OA(4216, 1070, F4, 54) (dual of [1070, 854, 55]-code) | [i] | ✔ | |
| 8 | Linear OA(4207, 1059, F4, 53) (dual of [1059, 852, 54]-code) | [i] | ✔ | |
| 9 | Linear OA(4234, 1089, F4, 57) (dual of [1089, 855, 58]-code) | [i] | ✔ | |
| 10 | Linear OA(4233, 1087, F4, 57) (dual of [1087, 854, 58]-code) | [i] | ✔ | |
| 11 | Linear OA(4231, 1083, F4, 57) (dual of [1083, 852, 58]-code) | [i] | ✔ | |