Information on Result #707365
Linear OA(4165, 1023, F4, 44) (dual of [1023, 858, 45]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4190, 1092, F4, 44) (dual of [1092, 902, 45]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4191, 1094, F4, 44) (dual of [1094, 903, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(4235, 1092, F4, 56) (dual of [1092, 857, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(4236, 1094, F4, 56) (dual of [1094, 858, 57]-code) | [i] | ✔ | |
| 5 | Linear OA(4173, 1036, F4, 46) (dual of [1036, 863, 47]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4214, 1089, F4, 51) (dual of [1089, 875, 52]-code) | [i] | ✔ | |
| 7 | Linear OA(4193, 1066, F4, 49) (dual of [1066, 873, 50]-code) | [i] | ✔ | |
| 8 | Linear OA(4192, 1064, F4, 49) (dual of [1064, 872, 50]-code) | [i] | ✔ | |
| 9 | Linear OA(4201, 1074, F4, 50) (dual of [1074, 873, 51]-code) | [i] | ✔ | |
| 10 | Linear OA(4200, 1067, F4, 50) (dual of [1067, 867, 51]-code) | [i] | ✔ | |
| 11 | Linear OA(4191, 1059, F4, 49) (dual of [1059, 868, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(4190, 1057, F4, 49) (dual of [1057, 867, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(4209, 1079, F4, 51) (dual of [1079, 870, 52]-code) | [i] | ✔ | |
| 14 | Linear OA(4208, 1077, F4, 51) (dual of [1077, 869, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(4199, 1067, F4, 50) (dual of [1067, 868, 51]-code) | [i] | ✔ | |
| 16 | Linear OA(4189, 1052, F4, 49) (dual of [1052, 863, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(4187, 1050, F4, 48) (dual of [1050, 863, 49]-code) | [i] | ✔ | |
| 18 | Linear OA(4188, 1050, F4, 49) (dual of [1050, 862, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(4186, 1046, F4, 48) (dual of [1046, 860, 49]-code) | [i] | ✔ | |
| 20 | Linear OA(4207, 1072, F4, 51) (dual of [1072, 865, 52]-code) | [i] | ✔ | |
| 21 | Linear OA(4206, 1070, F4, 51) (dual of [1070, 864, 52]-code) | [i] | ✔ | |
| 22 | Linear OA(4197, 1060, F4, 50) (dual of [1060, 863, 51]-code) | [i] | ✔ | |
| 23 | Linear OA(4205, 1065, F4, 51) (dual of [1065, 860, 52]-code) | [i] | ✔ | |
| 24 | Linear OA(4204, 1063, F4, 51) (dual of [1063, 859, 52]-code) | [i] | ✔ | |
| 25 | Linear OA(4192, 1049, F4, 50) (dual of [1049, 857, 51]-code) | [i] | ✔ | |
| 26 | Linear OA(4208, 1062, F4, 52) (dual of [1062, 854, 53]-code) | [i] | ✔ | |
| 27 | Linear OA(4183, 1041, F4, 48) (dual of [1041, 858, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(4199, 1057, F4, 51) (dual of [1057, 858, 52]-code) | [i] | ✔ | |
| 29 | Linear OA(4207, 1065, F4, 52) (dual of [1065, 858, 53]-code) | [i] | ✔ | |
| 30 | Linear OA(4208, 1066, F4, 53) (dual of [1066, 858, 54]-code) | [i] | ✔ | |
| 31 | Linear OA(4207, 1064, F4, 53) (dual of [1064, 857, 54]-code) | [i] | ✔ | |
| 32 | Linear OA(4216, 1074, F4, 54) (dual of [1074, 858, 55]-code) | [i] | ✔ | |
| 33 | Linear OA(4215, 1067, F4, 54) (dual of [1067, 852, 55]-code) | [i] | ✔ | |
| 34 | Linear OA(4224, 1079, F4, 55) (dual of [1079, 855, 56]-code) | [i] | ✔ | |
| 35 | Linear OA(4223, 1077, F4, 55) (dual of [1077, 854, 56]-code) | [i] | ✔ | |
| 36 | Linear OA(4215, 1073, F4, 54) (dual of [1073, 858, 55]-code) | [i] | ✔ | |
| 37 | Linear OA(4223, 1081, F4, 55) (dual of [1081, 858, 56]-code) | [i] | ✔ | |
| 38 | Linear OA(4231, 1086, F4, 56) (dual of [1086, 855, 57]-code) | [i] | ✔ | |
| 39 | Linear OA(4230, 1084, F4, 56) (dual of [1084, 854, 57]-code) | [i] | ✔ | |
| 40 | Linear OOA(4165, 511, F4, 2, 44) (dual of [(511, 2), 857, 45]-NRT-code) | [i] | OOA Folding | |
| 41 | Linear OOA(4165, 341, F4, 3, 44) (dual of [(341, 3), 858, 45]-NRT-code) | [i] | ||