Information on Result #709299
Linear OA(4216, 1023, F4, 58) (dual of [1023, 807, 59]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−5,−4,…,52}, and designed minimum distance d ≥ |I|+1 = 59
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4231, 1074, F4, 58) (dual of [1074, 843, 59]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4230, 1067, F4, 58) (dual of [1067, 837, 59]-code) | [i] | ✔ | |
| 3 | Linear OA(4229, 1067, F4, 58) (dual of [1067, 838, 59]-code) | [i] | ✔ | |
| 4 | Linear OA(4227, 1060, F4, 58) (dual of [1060, 833, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(4228, 1070, F4, 58) (dual of [1070, 842, 59]-code) | [i] | ✔ | |
| 6 | Linear OA(4227, 1064, F4, 58) (dual of [1064, 837, 59]-code) | [i] | ✔ | |
| 7 | Linear OA(4226, 1063, F4, 58) (dual of [1063, 837, 59]-code) | [i] | ✔ | |
| 8 | Linear OA(4225, 1057, F4, 58) (dual of [1057, 832, 59]-code) | [i] | ✔ | |
| 9 | Linear OA(4224, 1056, F4, 58) (dual of [1056, 832, 59]-code) | [i] | ✔ | |
| 10 | Linear OA(4228, 1055, F4, 59) (dual of [1055, 827, 60]-code) | [i] | ✔ | |
| 11 | Linear OA(4227, 1049, F4, 59) (dual of [1049, 822, 60]-code) | [i] | ✔ | |
| 12 | Linear OA(4237, 1065, F4, 60) (dual of [1065, 828, 61]-code) | [i] | ✔ | |
| 13 | Linear OA(4234, 1061, F4, 60) (dual of [1061, 827, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(4233, 1055, F4, 60) (dual of [1055, 822, 61]-code) | [i] | ✔ | |
| 15 | Linear OA(4246, 1074, F4, 62) (dual of [1074, 828, 63]-code) | [i] | ✔ | |
| 16 | Linear OA(4245, 1067, F4, 62) (dual of [1067, 822, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(4243, 1070, F4, 62) (dual of [1070, 827, 63]-code) | [i] | ✔ | |
| 18 | Linear OA(4242, 1064, F4, 62) (dual of [1064, 822, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(4253, 1081, F4, 63) (dual of [1081, 828, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(4250, 1077, F4, 63) (dual of [1077, 827, 64]-code) | [i] | ✔ | |
| 21 | Linear OA(4249, 1071, F4, 63) (dual of [1071, 822, 64]-code) | [i] | ✔ | |