Information on Result #708664
Linear OA(4156, 1023, F4, 42) (dual of [1023, 867, 43]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−4,−3,…,37}, and designed minimum distance d ≥ |I|+1 = 43
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 OA(4170, 1073, F4, 42) (dual of [1073, 903, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4162, 1049, F4, 42) (dual of [1049, 887, 43]-code) | [i] | ✔ | |
| 3 | Linear OA(4165, 1060, F4, 42) (dual of [1060, 895, 43]-code) | [i] | ✔ | |
| 4 | Linear OA(4163, 1053, F4, 42) (dual of [1053, 890, 43]-code) | [i] | ✔ | |
| 5 | Linear OA(4161, 1048, F4, 42) (dual of [1048, 887, 43]-code) | [i] | ✔ | |
| 6 | Linear OA(4160, 1045, F4, 42) (dual of [1045, 885, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(4165, 1045, F4, 43) (dual of [1045, 880, 44]-code) | [i] | ✔ | |
| 8 | Linear OA(4176, 1059, F4, 45) (dual of [1059, 883, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(4175, 1057, F4, 45) (dual of [1057, 882, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(4174, 1056, F4, 45) (dual of [1056, 882, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(4173, 1053, F4, 45) (dual of [1053, 880, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(4180, 1060, F4, 46) (dual of [1060, 880, 47]-code) | [i] | ✔ | |