Information on Result #708461
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 = {305,306,…,343}, 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(4162, 1073, F4, 39) (dual of [1073, 911, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(4157, 1064, F4, 39) (dual of [1064, 907, 40]-code) | [i] | ✔ | |
| 3 | Linear OA(4153, 1035, F4, 41) (dual of [1035, 882, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(4186, 1083, F4, 45) (dual of [1083, 897, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(4176, 1064, F4, 44) (dual of [1064, 888, 45]-code) | [i] | ✔ | |
| 6 | Linear OA(4181, 1073, F4, 45) (dual of [1073, 892, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(4180, 1067, F4, 45) (dual of [1067, 887, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(4179, 1066, F4, 45) (dual of [1066, 887, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(4178, 1060, F4, 45) (dual of [1060, 882, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(4177, 1059, F4, 45) (dual of [1059, 882, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(4196, 1073, F4, 49) (dual of [1073, 877, 50]-code) | [i] | ✔ | |
| 12 | Linear OA(4195, 1067, F4, 49) (dual of [1067, 872, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(4203, 1080, F4, 50) (dual of [1080, 877, 51]-code) | [i] | ✔ | |