Information on Result #708528
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 = {−4,−3,…,34}, 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(4154, 1057, F4, 39) (dual of [1057, 903, 40]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(4155, 1060, F4, 39) (dual of [1060, 905, 40]-code) | [i] | ✔ | |
3 | Linear OA(4152, 1054, F4, 39) (dual of [1054, 902, 40]-code) | [i] | ✔ | |
4 | Linear OA(4151, 1051, F4, 39) (dual of [1051, 900, 40]-code) | [i] | ✔ | |
5 | Linear OA(4150, 1045, F4, 39) (dual of [1045, 895, 40]-code) | [i] | ✔ | |
6 | Linear OA(4159, 1052, F4, 41) (dual of [1052, 893, 42]-code) | [i] | ✔ | |
7 | Linear OA(4157, 1050, F4, 40) (dual of [1050, 893, 41]-code) | [i] | ✔ | |
8 | Linear OA(4158, 1050, F4, 41) (dual of [1050, 892, 42]-code) | [i] | ✔ | |
9 | Linear OA(4156, 1046, F4, 40) (dual of [1046, 890, 41]-code) | [i] | ✔ | |
10 | Linear OA(4157, 1049, F4, 41) (dual of [1049, 892, 42]-code) | [i] | ✔ | |
11 | Linear OA(4155, 1047, F4, 40) (dual of [1047, 892, 41]-code) | [i] | ✔ | |
12 | Linear OA(4156, 1046, F4, 41) (dual of [1046, 890, 42]-code) | [i] | ✔ | |
13 | Linear OA(4163, 1053, F4, 42) (dual of [1053, 890, 43]-code) | [i] | ✔ | |
14 | Linear OA(4170, 1060, F4, 43) (dual of [1060, 890, 44]-code) | [i] | ✔ |