Information on Result #708415
Linear OA(4136, 1023, F4, 37) (dual of [1023, 887, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,32}, and designed minimum distance d ≥ |I|+1 = 38
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- 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(4136, 948, F4, 2, 37) (dual of [(948, 2), 1760, 38]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4136, 948, F4, 3, 37) (dual of [(948, 3), 2708, 38]-NRT-code) | [i] | ||
| 3 | Digital (99, 136, 948)-net over F4 | [i] | ||
| 4 | Linear OA(4148, 1066, F4, 37) (dual of [1066, 918, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4147, 1064, F4, 37) (dual of [1064, 917, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(4146, 1059, F4, 37) (dual of [1059, 913, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(4145, 1057, F4, 37) (dual of [1057, 912, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(4144, 1052, F4, 37) (dual of [1052, 908, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(4142, 1050, F4, 36) (dual of [1050, 908, 37]-code) | [i] | ✔ | |
| 10 | Linear OA(4143, 1050, F4, 37) (dual of [1050, 907, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4141, 1046, F4, 36) (dual of [1046, 905, 37]-code) | [i] | ✔ | |
| 12 | Linear OA(4146, 1063, F4, 37) (dual of [1063, 917, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4145, 1060, F4, 37) (dual of [1060, 915, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4143, 1058, F4, 36) (dual of [1058, 915, 37]-code) | [i] | ✔ | |
| 15 | Linear OA(4144, 1056, F4, 37) (dual of [1056, 912, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(4143, 1053, F4, 37) (dual of [1053, 910, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(4142, 1049, F4, 37) (dual of [1049, 907, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(4140, 1047, F4, 36) (dual of [1047, 907, 37]-code) | [i] | ✔ | |
| 19 | Linear OA(4141, 1046, F4, 37) (dual of [1046, 905, 38]-code) | [i] | ✔ | |
| 20 | Linear OA(4147, 1049, F4, 38) (dual of [1049, 902, 39]-code) | [i] | ✔ | |
| 21 | Linear OA(4146, 1048, F4, 38) (dual of [1048, 902, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(4145, 1045, F4, 38) (dual of [1045, 900, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(4154, 1057, F4, 39) (dual of [1057, 903, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(4152, 1054, F4, 39) (dual of [1054, 902, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(4151, 1051, F4, 39) (dual of [1051, 900, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(4163, 1066, F4, 41) (dual of [1066, 903, 42]-code) | [i] | ✔ | |
| 27 | Linear OA(4162, 1064, F4, 41) (dual of [1064, 902, 42]-code) | [i] | ✔ | |
| 28 | Linear OA(4161, 1063, F4, 41) (dual of [1063, 902, 42]-code) | [i] | ✔ | |
| 29 | Linear OA(4160, 1060, F4, 41) (dual of [1060, 900, 42]-code) | [i] | ✔ | |
| 30 | Linear OA(4158, 1058, F4, 40) (dual of [1058, 900, 41]-code) | [i] | ✔ | |
| 31 | Linear OA(4170, 1073, F4, 42) (dual of [1073, 903, 43]-code) | [i] | ✔ | |
| 32 | Linear OOA(4136, 341, F4, 3, 37) (dual of [(341, 3), 887, 38]-NRT-code) | [i] | OOA Folding | |