Information on Result #709474
Linear OA(4226, 1023, F4, 61) (dual of [1023, 797, 62]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,56}, and designed minimum distance d ≥ |I|+1 = 62
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4238, 1066, F4, 61) (dual of [1066, 828, 62]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4237, 1064, F4, 61) (dual of [1064, 827, 62]-code) | [i] | ✔ | |
| 3 | Linear OA(4236, 1059, F4, 61) (dual of [1059, 823, 62]-code) | [i] | ✔ | |
| 4 | Linear OA(4235, 1057, F4, 61) (dual of [1057, 822, 62]-code) | [i] | ✔ | |
| 5 | Linear OA(4234, 1052, F4, 61) (dual of [1052, 818, 62]-code) | [i] | ✔ | |
| 6 | Linear OA(4232, 1050, F4, 60) (dual of [1050, 818, 61]-code) | [i] | ✔ | |
| 7 | Linear OA(4233, 1050, F4, 61) (dual of [1050, 817, 62]-code) | [i] | ✔ | |
| 8 | Linear OA(4231, 1046, F4, 60) (dual of [1046, 815, 61]-code) | [i] | ✔ | |
| 9 | Linear OA(4236, 1063, F4, 61) (dual of [1063, 827, 62]-code) | [i] | ✔ | |
| 10 | Linear OA(4235, 1060, F4, 61) (dual of [1060, 825, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(4233, 1058, F4, 60) (dual of [1058, 825, 61]-code) | [i] | ✔ | |
| 12 | Linear OA(4234, 1056, F4, 61) (dual of [1056, 822, 62]-code) | [i] | ✔ | |
| 13 | Linear OA(4233, 1053, F4, 61) (dual of [1053, 820, 62]-code) | [i] | ✔ | |
| 14 | Linear OA(4232, 1049, F4, 61) (dual of [1049, 817, 62]-code) | [i] | ✔ | |
| 15 | Linear OA(4230, 1047, F4, 60) (dual of [1047, 817, 61]-code) | [i] | ✔ | |
| 16 | Linear OA(4231, 1046, F4, 61) (dual of [1046, 815, 62]-code) | [i] | ✔ | |
| 17 | Linear OA(4237, 1049, F4, 62) (dual of [1049, 812, 63]-code) | [i] | ✔ | |
| 18 | Linear OA(4236, 1048, F4, 62) (dual of [1048, 812, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(4235, 1045, F4, 62) (dual of [1045, 810, 63]-code) | [i] | ✔ | |
| 20 | Linear OA(4244, 1057, F4, 63) (dual of [1057, 813, 64]-code) | [i] | ✔ | |
| 21 | Linear OA(4242, 1054, F4, 63) (dual of [1054, 812, 64]-code) | [i] | ✔ | |
| 22 | Linear OA(4241, 1051, F4, 63) (dual of [1051, 810, 64]-code) | [i] | ✔ | |
| 23 | Linear OA(4253, 1066, F4, 65) (dual of [1066, 813, 66]-code) | [i] | ✔ | |
| 24 | Linear OA(4252, 1064, F4, 65) (dual of [1064, 812, 66]-code) | [i] | ✔ | |
| 25 | Linear OA(4251, 1063, F4, 65) (dual of [1063, 812, 66]-code) | [i] | ✔ | |
| 26 | Linear OA(4250, 1060, F4, 65) (dual of [1060, 810, 66]-code) | [i] | ✔ | |
| 27 | Linear OA(4248, 1058, F4, 64) (dual of [1058, 810, 65]-code) | [i] | ✔ | |
| 28 | Linear OOA(4226, 341, F4, 3, 61) (dual of [(341, 3), 797, 62]-NRT-code) | [i] | OOA Folding | |