Information on Result #707347
Linear OA(4150, 1023, F4, 40) (dual of [1023, 873, 41]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(4175, 1092, F4, 40) (dual of [1092, 917, 41]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4176, 1094, F4, 40) (dual of [1094, 918, 41]-code) | [i] | ✔ | |
| 3 | Linear OA(4220, 1092, F4, 52) (dual of [1092, 872, 53]-code) | [i] | ✔ | |
| 4 | Linear OA(4221, 1094, F4, 52) (dual of [1094, 873, 53]-code) | [i] | ✔ | |
| 5 | Linear OA(4158, 1036, F4, 42) (dual of [1036, 878, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4199, 1089, F4, 47) (dual of [1089, 890, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4198, 1087, F4, 47) (dual of [1087, 889, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4178, 1066, F4, 45) (dual of [1066, 888, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(4177, 1064, F4, 45) (dual of [1064, 887, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(4186, 1074, F4, 46) (dual of [1074, 888, 47]-code) | [i] | ✔ | |
| 11 | Linear OA(4185, 1067, F4, 46) (dual of [1067, 882, 47]-code) | [i] | ✔ | |
| 12 | Linear OA(4176, 1059, F4, 45) (dual of [1059, 883, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(4175, 1057, F4, 45) (dual of [1057, 882, 46]-code) | [i] | ✔ | |
| 14 | Linear OA(4194, 1079, F4, 47) (dual of [1079, 885, 48]-code) | [i] | ✔ | |
| 15 | Linear OA(4193, 1077, F4, 47) (dual of [1077, 884, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(4184, 1067, F4, 46) (dual of [1067, 883, 47]-code) | [i] | ✔ | |
| 17 | Linear OA(4174, 1052, F4, 45) (dual of [1052, 878, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(4172, 1050, F4, 44) (dual of [1050, 878, 45]-code) | [i] | ✔ | |
| 19 | Linear OA(4173, 1050, F4, 45) (dual of [1050, 877, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4171, 1046, F4, 44) (dual of [1046, 875, 45]-code) | [i] | ✔ | |
| 21 | Linear OA(4192, 1072, F4, 47) (dual of [1072, 880, 48]-code) | [i] | ✔ | |
| 22 | Linear OA(4191, 1070, F4, 47) (dual of [1070, 879, 48]-code) | [i] | ✔ | |
| 23 | Linear OA(4182, 1060, F4, 46) (dual of [1060, 878, 47]-code) | [i] | ✔ | |
| 24 | Linear OA(4190, 1065, F4, 47) (dual of [1065, 875, 48]-code) | [i] | ✔ | |
| 25 | Linear OA(4189, 1063, F4, 47) (dual of [1063, 874, 48]-code) | [i] | ✔ | |
| 26 | Linear OA(4177, 1049, F4, 46) (dual of [1049, 872, 47]-code) | [i] | ✔ | |
| 27 | Linear OA(4193, 1062, F4, 48) (dual of [1062, 869, 49]-code) | [i] | ✔ | |
| 28 | Linear OA(4168, 1041, F4, 44) (dual of [1041, 873, 45]-code) | [i] | ✔ | |
| 29 | Linear OA(4184, 1057, F4, 47) (dual of [1057, 873, 48]-code) | [i] | ✔ | |
| 30 | Linear OA(4192, 1065, F4, 48) (dual of [1065, 873, 49]-code) | [i] | ✔ | |
| 31 | Linear OA(4193, 1066, F4, 49) (dual of [1066, 873, 50]-code) | [i] | ✔ | |
| 32 | Linear OA(4192, 1064, F4, 49) (dual of [1064, 872, 50]-code) | [i] | ✔ | |
| 33 | Linear OA(4201, 1074, F4, 50) (dual of [1074, 873, 51]-code) | [i] | ✔ | |
| 34 | Linear OA(4200, 1067, F4, 50) (dual of [1067, 867, 51]-code) | [i] | ✔ | |
| 35 | Linear OA(4209, 1079, F4, 51) (dual of [1079, 870, 52]-code) | [i] | ✔ | |
| 36 | Linear OA(4208, 1077, F4, 51) (dual of [1077, 869, 52]-code) | [i] | ✔ | |
| 37 | Linear OA(4200, 1073, F4, 50) (dual of [1073, 873, 51]-code) | [i] | ✔ | |
| 38 | Linear OA(4208, 1081, F4, 51) (dual of [1081, 873, 52]-code) | [i] | ✔ | |
| 39 | Linear OA(4216, 1086, F4, 52) (dual of [1086, 870, 53]-code) | [i] | ✔ | |
| 40 | Linear OA(4215, 1084, F4, 52) (dual of [1084, 869, 53]-code) | [i] | ✔ | |
| 41 | Linear OOA(4150, 341, F4, 3, 40) (dual of [(341, 3), 873, 41]-NRT-code) | [i] | OOA Folding | |