Information on Result #673060
Linear OA(2161, 1024, F2, 33) (dual of [1024, 863, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2167, 1030, F2, 35) (dual of [1030, 863, 36]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2162, 1035, F2, 33) (dual of [1035, 873, 34]-code) | [i] | ✔ | |
| 3 | Linear OA(2181, 1040, F2, 37) (dual of [1040, 859, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2182, 1045, F2, 37) (dual of [1045, 863, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(2197, 1057, F2, 39) (dual of [1057, 860, 40]-code) | [i] | ✔ | |
| 6 | Linear OA(2199, 1062, F2, 39) (dual of [1062, 863, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2172, 1057, F2, 33) (dual of [1057, 885, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(2174, 1067, F2, 33) (dual of [1067, 893, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2215, 1078, F2, 41) (dual of [1078, 863, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(2198, 1061, F2, 39) (dual of [1061, 863, 40]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(2197, 1059, F2, 39) (dual of [1059, 862, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2196, 1057, F2, 39) (dual of [1057, 861, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(2195, 1055, F2, 39) (dual of [1055, 860, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(2194, 1053, F2, 39) (dual of [1053, 859, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(2181, 1042, F2, 37) (dual of [1042, 861, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(2180, 1040, F2, 37) (dual of [1040, 860, 38]-code) | [i] | ✔ | |
| 17 | Linear OA(2179, 1038, F2, 37) (dual of [1038, 859, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(2186, 1052, F2, 37) (dual of [1052, 866, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(2166, 1042, F2, 33) (dual of [1042, 876, 34]-code) | [i] | ✔ | |
| 20 | Linear OA(2173, 1061, F2, 33) (dual of [1061, 888, 34]-code) | [i] | ✔ | |
| 21 | Linear OA(2172, 1059, F2, 33) (dual of [1059, 887, 34]-code) | [i] | ✔ | |
| 22 | Linear OA(2171, 1057, F2, 33) (dual of [1057, 886, 34]-code) | [i] | ✔ | |
| 23 | Linear OOA(2161, 512, F2, 2, 33) (dual of [(512, 2), 863, 34]-NRT-code) | [i] | OOA Folding | |
| 24 | Linear OOA(2161, 256, F2, 4, 33) (dual of [(256, 4), 863, 34]-NRT-code) | [i] | ||