Information on Result #708544
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 = {305,306,…,345}, 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(4171, 1082, F4, 41) (dual of [1082, 911, 42]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4155, 1042, F4, 41) (dual of [1042, 887, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(4153, 1035, F4, 41) (dual of [1035, 882, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(4165, 1047, F4, 43) (dual of [1047, 882, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(4164, 1039, F4, 43) (dual of [1039, 875, 44]-code) | [i] | ✔ | |
| 6 | Linear OOA(4151, 341, F4, 3, 41) (dual of [(341, 3), 872, 42]-NRT-code) | [i] | OOA Folding | |