Information on Result #708608
Linear OA(4156, 1023, F4, 41) (dual of [1023, 867, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,34}, and designed minimum distance d ≥ |I|+1 = 42
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4175, 1065, F4, 43) (dual of [1065, 890, 44]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4174, 1063, F4, 43) (dual of [1063, 889, 44]-code) | [i] | ✔ | |
| 3 | Linear OA(4172, 1063, F4, 43) (dual of [1063, 891, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(4181, 1070, F4, 44) (dual of [1070, 889, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(4179, 1070, F4, 44) (dual of [1070, 891, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(4199, 1089, F4, 47) (dual of [1089, 890, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4198, 1087, F4, 47) (dual of [1087, 889, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4196, 1087, F4, 47) (dual of [1087, 891, 48]-code) | [i] | ✔ | |