Information on Result #708668
Linear OA(4166, 1023, F4, 44) (dual of [1023, 857, 45]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {−6,−5,…,37}, and designed minimum distance d ≥ |I|+1 = 45
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 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(4186, 1086, F4, 44) (dual of [1086, 900, 45]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(4185, 1084, F4, 44) (dual of [1084, 899, 45]-code) | [i] | ✔ | |
3 | Linear OA(4183, 1077, F4, 44) (dual of [1077, 894, 45]-code) | [i] | ✔ | |
4 | Linear OA(4181, 1070, F4, 44) (dual of [1070, 889, 45]-code) | [i] | ✔ | |
5 | Linear OA(4178, 1062, F4, 44) (dual of [1062, 884, 45]-code) | [i] | ✔ | |
6 | Linear OA(4183, 1084, F4, 44) (dual of [1084, 901, 45]-code) | [i] | ✔ | |
7 | Linear OA(4181, 1077, F4, 44) (dual of [1077, 896, 45]-code) | [i] | ✔ | |
8 | Linear OA(4179, 1070, F4, 44) (dual of [1070, 891, 45]-code) | [i] | ✔ | |
9 | Linear OA(4176, 1062, F4, 44) (dual of [1062, 886, 45]-code) | [i] | ✔ | |
10 | Linear OA(4192, 1072, F4, 47) (dual of [1072, 880, 48]-code) | [i] | ✔ | |
11 | Linear OA(4191, 1070, F4, 47) (dual of [1070, 879, 48]-code) | [i] | ✔ | |
12 | Linear OA(4189, 1070, F4, 47) (dual of [1070, 881, 48]-code) | [i] | ✔ | |
13 | Linear OA(4198, 1077, F4, 48) (dual of [1077, 879, 49]-code) | [i] | ✔ | |
14 | Linear OA(4196, 1077, F4, 48) (dual of [1077, 881, 49]-code) | [i] | ✔ |