Information on Result #707416
Linear OA(4211, 1023, F4, 56) (dual of [1023, 812, 57]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {287,288,…,342}, and designed minimum distance d ≥ |I|+1 = 57
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(4233, 1090, F4, 56) (dual of [1090, 857, 57]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4216, 1047, F4, 56) (dual of [1047, 831, 57]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(4215, 1045, F4, 56) (dual of [1045, 830, 57]-code) | [i] | ✔ | |
| 4 | Linear OA(4217, 1034, F4, 58) (dual of [1034, 817, 59]-code) | [i] | ✔ | |
| 5 | Linear OA(4225, 1047, F4, 59) (dual of [1047, 822, 60]-code) | [i] | ✔ | |
| 6 | Linear OA(4224, 1039, F4, 59) (dual of [1039, 815, 60]-code) | [i] | ✔ | |
| 7 | Linear OA(4231, 1047, F4, 60) (dual of [1047, 816, 61]-code) | [i] | ✔ | |
| 8 | Linear OA(4224, 1041, F4, 59) (dual of [1041, 817, 60]-code) | [i] | ✔ | |
| 9 | Linear OA(4232, 1054, F4, 60) (dual of [1054, 822, 61]-code) | [i] | ✔ | |
| 10 | Linear OA(4231, 1051, F4, 60) (dual of [1051, 820, 61]-code) | [i] | ✔ | |
| 11 | Linear OA(4256, 1086, F4, 63) (dual of [1086, 830, 64]-code) | [i] | ✔ | |
| 12 | Linear OA(4255, 1084, F4, 63) (dual of [1084, 829, 64]-code) | [i] | ✔ | |
| 13 | Linear OA(4230, 1045, F4, 60) (dual of [1045, 815, 61]-code) | [i] | ✔ | |
| 14 | Linear OA(4250, 1066, F4, 63) (dual of [1066, 816, 64]-code) | [i] | ✔ | |
| 15 | Linear OA(4249, 1064, F4, 63) (dual of [1064, 815, 64]-code) | [i] | ✔ | |
| 16 | Linear OA(4241, 1058, F4, 62) (dual of [1058, 817, 63]-code) | [i] | ✔ | |
| 17 | Linear OA(4250, 1070, F4, 63) (dual of [1070, 820, 64]-code) | [i] | ✔ | |
| 18 | Linear OA(4249, 1068, F4, 63) (dual of [1068, 819, 64]-code) | [i] | ✔ | |
| 19 | Linear OA(4248, 1062, F4, 63) (dual of [1062, 814, 64]-code) | [i] | ✔ | |
| 20 | Linear OA(4230, 1042, F4, 61) (dual of [1042, 812, 62]-code) | [i] | ✔ | |
| 21 | Linear OA(4255, 1065, F4, 65) (dual of [1065, 810, 66]-code) | [i] | ✔ | |
| 22 | Linear OA(4254, 1063, F4, 65) (dual of [1063, 809, 66]-code) | [i] | ✔ | |