Information on Result #708590
Linear OA(4151, 1023, F4, 41) (dual of [1023, 872, 42]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,36}, and designed minimum distance d ≥ |I|+1 = 42
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 OA(4163, 1066, F4, 41) (dual of [1066, 903, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4162, 1064, F4, 41) (dual of [1064, 902, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(4161, 1059, F4, 41) (dual of [1059, 898, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(4160, 1057, F4, 41) (dual of [1057, 897, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(4159, 1052, F4, 41) (dual of [1052, 893, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(4157, 1050, F4, 40) (dual of [1050, 893, 41]-code) | [i] | ✔ | |
| 7 | Linear OA(4158, 1050, F4, 41) (dual of [1050, 892, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(4156, 1046, F4, 40) (dual of [1046, 890, 41]-code) | [i] | ✔ | |
| 9 | Linear OA(4161, 1063, F4, 41) (dual of [1063, 902, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(4160, 1060, F4, 41) (dual of [1060, 900, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(4158, 1058, F4, 40) (dual of [1058, 900, 41]-code) | [i] | ✔ | |
| 12 | Linear OA(4159, 1056, F4, 41) (dual of [1056, 897, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(4158, 1053, F4, 41) (dual of [1053, 895, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(4157, 1049, F4, 41) (dual of [1049, 892, 42]-code) | [i] | ✔ | |
| 15 | Linear OA(4155, 1047, F4, 40) (dual of [1047, 892, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(4156, 1046, F4, 41) (dual of [1046, 890, 42]-code) | [i] | ✔ | |
| 17 | Linear OA(4162, 1049, F4, 42) (dual of [1049, 887, 43]-code) | [i] | ✔ | |
| 18 | Linear OA(4161, 1048, F4, 42) (dual of [1048, 887, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(4160, 1045, F4, 42) (dual of [1045, 885, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(4169, 1057, F4, 43) (dual of [1057, 888, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(4167, 1054, F4, 43) (dual of [1054, 887, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(4166, 1051, F4, 43) (dual of [1051, 885, 44]-code) | [i] | ✔ | |
| 23 | Linear OA(4178, 1066, F4, 45) (dual of [1066, 888, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(4177, 1064, F4, 45) (dual of [1064, 887, 46]-code) | [i] | ✔ | |
| 25 | Linear OA(4176, 1063, F4, 45) (dual of [1063, 887, 46]-code) | [i] | ✔ | |
| 26 | Linear OA(4175, 1060, F4, 45) (dual of [1060, 885, 46]-code) | [i] | ✔ | |
| 27 | Linear OA(4173, 1058, F4, 44) (dual of [1058, 885, 45]-code) | [i] | ✔ | |
| 28 | Linear OA(4185, 1073, F4, 46) (dual of [1073, 888, 47]-code) | [i] | ✔ | |
| 29 | Linear OOA(4151, 341, F4, 3, 41) (dual of [(341, 3), 872, 42]-NRT-code) | [i] | OOA Folding | |