Information on Result #708408
Linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,346}, and designed minimum distance d ≥ |I|+1 = 39
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(4141, 1018, F4, 2, 38) (dual of [(1018, 2), 1895, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4141, 1018, F4, 3, 38) (dual of [(1018, 3), 2913, 39]-NRT-code) | [i] | ||
| 3 | Digital (103, 141, 1018)-net over F4 | [i] | ||
| 4 | Linear OA(4164, 1090, F4, 38) (dual of [1090, 926, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(4157, 1054, F4, 40) (dual of [1054, 897, 41]-code) | [i] | ✔ | |
| 6 | Linear OA(4156, 1051, F4, 40) (dual of [1051, 895, 41]-code) | [i] | ✔ | |