Information on Result #613349
Linear OA(4231, 1024, F4, 62) (dual of [1024, 793, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4236, 1029, F4, 63) (dual of [1029, 793, 64]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(4231, 1029, F4, 62) (dual of [1029, 798, 63]-code) | [i] | ✔ | |
| 3 | Linear OA(4242, 1035, F4, 64) (dual of [1035, 793, 65]-code) | [i] | ✔ | |
| 4 | Linear OA(4249, 1041, F4, 69) (dual of [1041, 792, 70]-code) | [i] | ✔ | |
| 5 | Linear OA(4250, 1043, F4, 69) (dual of [1043, 793, 70]-code) | [i] | ✔ | |
| 6 | Linear OA(4247, 1036, F4, 68) (dual of [1036, 789, 69]-code) | [i] | ✔ | |
| 7 | Linear OA(4247, 1040, F4, 67) (dual of [1040, 793, 68]-code) | [i] | ✔ | |
| 8 | Linear OA(4245, 1038, F4, 66) (dual of [1038, 793, 67]-code) | [i] | ✔ | |
| 9 | Linear OA(4234, 1037, F4, 62) (dual of [1037, 803, 63]-code) | [i] | ✔ | |
| 10 | Linear OA(4257, 1050, F4, 70) (dual of [1050, 793, 71]-code) | [i] | ✔ | |
| 11 | Linear OA(4235, 1041, F4, 62) (dual of [1041, 806, 63]-code) | [i] | ✔ | |
| 12 | Linear OA(4236, 1044, F4, 62) (dual of [1044, 808, 63]-code) | [i] | ✔ | |
| 13 | Linear OA(4238, 1051, F4, 62) (dual of [1051, 813, 63]-code) | [i] | ✔ | |
| 14 | Linear OA(4243, 1058, F4, 62) (dual of [1058, 815, 63]-code) | [i] | ✔ | |
| 15 | Linear OA(4244, 1062, F4, 62) (dual of [1062, 818, 63]-code) | [i] | ✔ | |
| 16 | Linear OA(4246, 1067, F4, 62) (dual of [1067, 821, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(4247, 1070, F4, 62) (dual of [1070, 823, 63]-code) | [i] | ✔ | |
| 18 | Linear OA(4249, 1077, F4, 62) (dual of [1077, 828, 63]-code) | [i] | ✔ | |
| 19 | Linear OA(4253, 1086, F4, 62) (dual of [1086, 833, 63]-code) | [i] | ✔ | |
| 20 | Linear OA(4259, 1097, F4, 62) (dual of [1097, 838, 63]-code) | [i] | ✔ | |
| 21 | Linear OA(4248, 1041, F4, 68) (dual of [1041, 793, 69]-code) | [i] | ✔ | |
| 22 | Linear OA(4256, 1093, F4, 62) (dual of [1093, 837, 63]-code) | [i] | ✔ | |
| 23 | Linear OA(4257, 1095, F4, 62) (dual of [1095, 838, 63]-code) | [i] | ✔ | |
| 24 | Linear OA(4260, 1054, F4, 70) (dual of [1054, 794, 71]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 25 | Linear OA(4248, 1037, F4, 69) (dual of [1037, 789, 70]-code) | [i] | ✔ | |
| 26 | Linear OA(4243, 1032, F4, 65) (dual of [1032, 789, 66]-code) | [i] | ✔ | |
| 27 | Linear OA(4249, 1044, F4, 67) (dual of [1044, 795, 68]-code) | [i] | ✔ | |
| 28 | Linear OA(4248, 1042, F4, 67) (dual of [1042, 794, 68]-code) | [i] | ✔ | |
| 29 | Linear OA(4246, 1040, F4, 66) (dual of [1040, 794, 67]-code) | [i] | ✔ | |
| 30 | Linear OA(4243, 1037, F4, 64) (dual of [1037, 794, 65]-code) | [i] | ✔ | |
| 31 | Linear OA(4233, 1032, F4, 62) (dual of [1032, 799, 63]-code) | [i] | ✔ | |
| 32 | Linear OA(4237, 1046, F4, 62) (dual of [1046, 809, 63]-code) | [i] | ✔ | |
| 33 | Linear OA(4243, 1060, F4, 62) (dual of [1060, 817, 63]-code) | [i] | ✔ | |
| 34 | Linear OA(4242, 1058, F4, 62) (dual of [1058, 816, 63]-code) | [i] | ✔ | |
| 35 | Linear OA(4241, 1056, F4, 62) (dual of [1056, 815, 63]-code) | [i] | ✔ | |
| 36 | Linear OA(4240, 1054, F4, 62) (dual of [1054, 814, 63]-code) | [i] | ✔ | |
| 37 | Linear OA(4250, 1045, F4, 68) (dual of [1045, 795, 69]-code) | [i] | ✔ | |
| 38 | Linear OA(4249, 1043, F4, 68) (dual of [1043, 794, 69]-code) | [i] | ✔ | |