Information on Result #708916
Linear OA(4186, 1023, F4, 50) (dual of [1023, 837, 51]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {300,301,…,349}, and designed minimum distance d ≥ |I|+1 = 51
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(4206, 1086, F4, 50) (dual of [1086, 880, 51]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(4205, 1084, F4, 50) (dual of [1084, 879, 51]-code) | [i] | ✔ | |
3 | Linear OA(4204, 1079, F4, 50) (dual of [1079, 875, 51]-code) | [i] | ✔ | |
4 | Linear OA(4203, 1077, F4, 50) (dual of [1077, 874, 51]-code) | [i] | ✔ | |
5 | Linear OA(4202, 1072, F4, 50) (dual of [1072, 870, 51]-code) | [i] | ✔ | |
6 | Linear OA(4201, 1070, F4, 50) (dual of [1070, 869, 51]-code) | [i] | ✔ | |
7 | Linear OA(4203, 1080, F4, 50) (dual of [1080, 877, 51]-code) | [i] | ✔ | |
8 | Linear OA(4212, 1072, F4, 53) (dual of [1072, 860, 54]-code) | [i] | ✔ | |
9 | Linear OA(4211, 1070, F4, 53) (dual of [1070, 859, 54]-code) | [i] | ✔ | |
10 | Linear OA(4219, 1079, F4, 54) (dual of [1079, 860, 55]-code) | [i] | ✔ | |
11 | Linear OA(4218, 1077, F4, 54) (dual of [1077, 859, 55]-code) | [i] | ✔ | |
12 | Linear OA(4209, 1066, F4, 53) (dual of [1066, 857, 54]-code) | [i] | ✔ | |
13 | Linear OA(4208, 1060, F4, 53) (dual of [1060, 852, 54]-code) | [i] | ✔ | |
14 | Linear OA(4226, 1086, F4, 55) (dual of [1086, 860, 56]-code) | [i] | ✔ | |
15 | Linear OA(4225, 1084, F4, 55) (dual of [1084, 859, 56]-code) | [i] | ✔ |