Information on Result #707413
Linear OA(4210, 1023, F4, 56) (dual of [1023, 813, 57]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,56], and designed minimum distance d ≥ |I|+1 = 57
Mode: Constructive and linear.
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]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4235, 1092, F4, 56) (dual of [1092, 857, 57]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4236, 1094, F4, 56) (dual of [1094, 858, 57]-code) | [i] | ✔ | |
| 3 | Linear OA(4218, 1036, F4, 58) (dual of [1036, 818, 59]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 4 | Linear OA(4259, 1089, F4, 63) (dual of [1089, 830, 64]-code) | [i] | ✔ | |
| 5 | Linear OA(4258, 1087, F4, 63) (dual of [1087, 829, 64]-code) | [i] | ✔ | |
| 6 | Linear OA(4238, 1066, F4, 61) (dual of [1066, 828, 62]-code) | [i] | ✔ | |
| 7 | Linear OA(4237, 1064, F4, 61) (dual of [1064, 827, 62]-code) | [i] | ✔ | |
| 8 | Linear OA(4246, 1074, F4, 62) (dual of [1074, 828, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(4245, 1067, F4, 62) (dual of [1067, 822, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(4236, 1059, F4, 61) (dual of [1059, 823, 62]-code) | [i] | ✔ | |
| 11 | Linear OA(4235, 1057, F4, 61) (dual of [1057, 822, 62]-code) | [i] | ✔ | |
| 12 | Linear OA(4254, 1079, F4, 63) (dual of [1079, 825, 64]-code) | [i] | ✔ | |
| 13 | Linear OA(4253, 1077, F4, 63) (dual of [1077, 824, 64]-code) | [i] | ✔ | |
| 14 | Linear OA(4244, 1067, F4, 62) (dual of [1067, 823, 63]-code) | [i] | ✔ | |
| 15 | Linear OA(4234, 1052, F4, 61) (dual of [1052, 818, 62]-code) | [i] | ✔ | |
| 16 | Linear OA(4232, 1050, F4, 60) (dual of [1050, 818, 61]-code) | [i] | ✔ | |
| 17 | Linear OA(4233, 1050, F4, 61) (dual of [1050, 817, 62]-code) | [i] | ✔ | |
| 18 | Linear OA(4231, 1046, F4, 60) (dual of [1046, 815, 61]-code) | [i] | ✔ | |
| 19 | Linear OA(4252, 1072, F4, 63) (dual of [1072, 820, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(4251, 1070, F4, 63) (dual of [1070, 819, 64]-code) | [i] | ✔ | |
| 21 | Linear OA(4242, 1060, F4, 62) (dual of [1060, 818, 63]-code) | [i] | ✔ | |
| 22 | Linear OA(4250, 1065, F4, 63) (dual of [1065, 815, 64]-code) | [i] | ✔ | |
| 23 | Linear OA(4249, 1063, F4, 63) (dual of [1063, 814, 64]-code) | [i] | ✔ | |
| 24 | Linear OA(4237, 1049, F4, 62) (dual of [1049, 812, 63]-code) | [i] | ✔ | |
| 25 | Linear OA(4253, 1062, F4, 64) (dual of [1062, 809, 65]-code) | [i] | ✔ | |
| 26 | Linear OA(4228, 1041, F4, 60) (dual of [1041, 813, 61]-code) | [i] | ✔ | |
| 27 | Linear OA(4244, 1057, F4, 63) (dual of [1057, 813, 64]-code) | [i] | ✔ | |
| 28 | Linear OA(4252, 1065, F4, 64) (dual of [1065, 813, 65]-code) | [i] | ✔ | |
| 29 | Linear OA(4253, 1066, F4, 65) (dual of [1066, 813, 66]-code) | [i] | ✔ | |
| 30 | Linear OA(4252, 1064, F4, 65) (dual of [1064, 812, 66]-code) | [i] | ✔ | |
| 31 | Linear OOA(4210, 341, F4, 3, 56) (dual of [(341, 3), 813, 57]-NRT-code) | [i] | OOA Folding | |