Information on Result #707387
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 = {305,306,…,341}, 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(4203, 1090, F4, 48) (dual of [1090, 887, 49]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(4153, 1062, F4, 38) (dual of [1062, 909, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(4151, 1058, F4, 38) (dual of [1058, 907, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(4157, 1064, F4, 39) (dual of [1064, 907, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(4144, 1041, F4, 38) (dual of [1041, 897, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(4143, 1033, F4, 38) (dual of [1033, 890, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(4142, 1034, F4, 38) (dual of [1034, 892, 39]-code) | [i] | ✔ | |
| 11 | Linear OOA(4136, 341, F4, 3, 37) (dual of [(341, 3), 887, 38]-NRT-code) | [i] | OOA Folding | |