Information on Result #708311
Linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,29}, and designed minimum distance d ≥ |I|+1 = 35
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]
- Primitive BCH-Codes (hidden) [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(4126, 935, F4, 2, 34) (dual of [(935, 2), 1744, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4126, 935, F4, 3, 34) (dual of [(935, 3), 2679, 35]-NRT-code) | [i] | ||
| 3 | Digital (92, 126, 935)-net over F4 | [i] | ||
| 4 | Linear OA(4140, 1073, F4, 34) (dual of [1073, 933, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4132, 1049, F4, 34) (dual of [1049, 917, 35]-code) | [i] | ✔ | |
| 6 | Linear OA(4135, 1060, F4, 34) (dual of [1060, 925, 35]-code) | [i] | ✔ | |
| 7 | Linear OA(4133, 1053, F4, 34) (dual of [1053, 920, 35]-code) | [i] | ✔ | |
| 8 | Linear OA(4131, 1048, F4, 34) (dual of [1048, 917, 35]-code) | [i] | ✔ | |
| 9 | Linear OA(4130, 1045, F4, 34) (dual of [1045, 915, 35]-code) | [i] | ✔ | |
| 10 | Linear OA(4135, 1045, F4, 35) (dual of [1045, 910, 36]-code) | [i] | ✔ | |
| 11 | Linear OA(4146, 1059, F4, 37) (dual of [1059, 913, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4145, 1057, F4, 37) (dual of [1057, 912, 38]-code) | [i] | ✔ | |
| 13 | Linear OA(4144, 1056, F4, 37) (dual of [1056, 912, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(4143, 1053, F4, 37) (dual of [1053, 910, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(4150, 1060, F4, 38) (dual of [1060, 910, 39]-code) | [i] | ✔ | |