Information on Result #708437
Linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,345}, and designed minimum distance d ≥ |I|+1 = 36
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]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(4131, 1008, F4, 2, 35) (dual of [(1008, 2), 1885, 36]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4131, 1008, F4, 3, 35) (dual of [(1008, 3), 2893, 36]-NRT-code) | [i] | ||
| 3 | Digital (96, 131, 1008)-net over F4 | [i] | ||
| 4 | Linear OA(4135, 1047, F4, 35) (dual of [1047, 912, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4134, 1039, F4, 35) (dual of [1039, 905, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(4140, 1042, F4, 37) (dual of [1042, 902, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(4138, 1035, F4, 37) (dual of [1035, 897, 38]-code) | [i] | ✔ | |