Information on Result #708623
Linear OA(4146, 1023, F4, 39) (dual of [1023, 877, 40]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {303,304,…,341}, and designed minimum distance d ≥ |I|+1 = 40
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 OA(4155, 1045, F4, 40) (dual of [1045, 890, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4157, 1034, F4, 42) (dual of [1034, 877, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(4164, 1041, F4, 43) (dual of [1041, 877, 44]-code) | [i] | ✔ | |
| 4 | Linear OA(4170, 1045, F4, 44) (dual of [1045, 875, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(4181, 1058, F4, 46) (dual of [1058, 877, 47]-code) | [i] | ✔ | |
| 6 | Linear OA(4188, 1062, F4, 47) (dual of [1062, 874, 48]-code) | [i] | ✔ | |
| 7 | Linear OA(4187, 1064, F4, 47) (dual of [1064, 877, 48]-code) | [i] | ✔ | |
| 8 | Linear OA(4195, 1070, F4, 48) (dual of [1070, 875, 49]-code) | [i] | ✔ | |