Information on Result #709412
Linear OA(4226, 1023, F4, 60) (dual of [1023, 797, 61]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,54}, and designed minimum distance d ≥ |I|+1 = 61
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4237, 1065, F4, 60) (dual of [1065, 828, 61]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4240, 1077, F4, 60) (dual of [1077, 837, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(4239, 1071, F4, 60) (dual of [1071, 832, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(4238, 1070, F4, 60) (dual of [1070, 832, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(4234, 1061, F4, 60) (dual of [1061, 827, 61]-code) | [i] | ✔ | |
| 6 | Linear OA(4233, 1055, F4, 60) (dual of [1055, 822, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(4232, 1049, F4, 60) (dual of [1049, 817, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(4242, 1060, F4, 62) (dual of [1060, 818, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(4239, 1056, F4, 62) (dual of [1056, 817, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(4246, 1063, F4, 63) (dual of [1063, 817, 64]-code) | [i] | ✔ | |
| 11 | Linear OA(4245, 1057, F4, 63) (dual of [1057, 812, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(4253, 1070, F4, 64) (dual of [1070, 817, 65]-code) | [i] | ✔ | |