Information on Result #707366
Linear OA(4120, 1023, F4, 32) (dual of [1023, 903, 33]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 45−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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 OOA(4120, 959, F4, 2, 32) (dual of [(959, 2), 1798, 33]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4120, 959, F4, 3, 32) (dual of [(959, 3), 2757, 33]-NRT-code) | [i] | ||
| 3 | Digital (88, 120, 959)-net over F4 | [i] | ||
| 4 | Linear OA(4190, 1092, F4, 44) (dual of [1092, 902, 45]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4191, 1094, F4, 44) (dual of [1094, 903, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(4128, 1036, F4, 34) (dual of [1036, 908, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 7 | Linear OA(4169, 1089, F4, 39) (dual of [1089, 920, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(4168, 1087, F4, 39) (dual of [1087, 919, 40]-code) | [i] | ✔ | |
| 9 | Linear OA(4148, 1066, F4, 37) (dual of [1066, 918, 38]-code) | [i] | ✔ | |
| 10 | Linear OA(4147, 1064, F4, 37) (dual of [1064, 917, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4156, 1074, F4, 38) (dual of [1074, 918, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(4155, 1067, F4, 38) (dual of [1067, 912, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(4146, 1059, F4, 37) (dual of [1059, 913, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4145, 1057, F4, 37) (dual of [1057, 912, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4164, 1079, F4, 39) (dual of [1079, 915, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(4163, 1077, F4, 39) (dual of [1077, 914, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4154, 1067, F4, 38) (dual of [1067, 913, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(4144, 1052, F4, 37) (dual of [1052, 908, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4142, 1050, F4, 36) (dual of [1050, 908, 37]-code) | [i] | ✔ | |
| 20 | Linear OA(4143, 1050, F4, 37) (dual of [1050, 907, 38]-code) | [i] | ✔ | |
| 21 | Linear OA(4141, 1046, F4, 36) (dual of [1046, 905, 37]-code) | [i] | ✔ | |
| 22 | Linear OA(4162, 1072, F4, 39) (dual of [1072, 910, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(4161, 1070, F4, 39) (dual of [1070, 909, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(4152, 1060, F4, 38) (dual of [1060, 908, 39]-code) | [i] | ✔ | |
| 25 | Linear OA(4160, 1065, F4, 39) (dual of [1065, 905, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(4159, 1063, F4, 39) (dual of [1063, 904, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(4147, 1049, F4, 38) (dual of [1049, 902, 39]-code) | [i] | ✔ | |
| 28 | Linear OA(4163, 1062, F4, 40) (dual of [1062, 899, 41]-code) | [i] | ✔ | |
| 29 | Linear OA(4138, 1041, F4, 36) (dual of [1041, 903, 37]-code) | [i] | ✔ | |
| 30 | Linear OA(4154, 1057, F4, 39) (dual of [1057, 903, 40]-code) | [i] | ✔ | |
| 31 | Linear OA(4162, 1065, F4, 40) (dual of [1065, 903, 41]-code) | [i] | ✔ | |
| 32 | Linear OA(4163, 1066, F4, 41) (dual of [1066, 903, 42]-code) | [i] | ✔ | |
| 33 | Linear OA(4162, 1064, F4, 41) (dual of [1064, 902, 42]-code) | [i] | ✔ | |
| 34 | Linear OA(4171, 1074, F4, 42) (dual of [1074, 903, 43]-code) | [i] | ✔ | |
| 35 | Linear OA(4170, 1067, F4, 42) (dual of [1067, 897, 43]-code) | [i] | ✔ | |
| 36 | Linear OA(4179, 1079, F4, 43) (dual of [1079, 900, 44]-code) | [i] | ✔ | |
| 37 | Linear OA(4178, 1077, F4, 43) (dual of [1077, 899, 44]-code) | [i] | ✔ | |
| 38 | Linear OA(4170, 1073, F4, 42) (dual of [1073, 903, 43]-code) | [i] | ✔ | |
| 39 | Linear OA(4178, 1081, F4, 43) (dual of [1081, 903, 44]-code) | [i] | ✔ | |
| 40 | Linear OA(4186, 1086, F4, 44) (dual of [1086, 900, 45]-code) | [i] | ✔ | |
| 41 | Linear OA(4185, 1084, F4, 44) (dual of [1084, 899, 45]-code) | [i] | ✔ | |
| 42 | Linear OOA(4120, 341, F4, 3, 32) (dual of [(341, 3), 903, 33]-NRT-code) | [i] | OOA Folding | |