Information on Result #611308
Linear OA(2151, 1024, F2, 31) (dual of [1024, 873, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
Mode: Constructive and linear.
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(2162, 1035, F2, 33) (dual of [1035, 873, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2152, 1035, F2, 31) (dual of [1035, 883, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(2171, 1040, F2, 35) (dual of [1040, 869, 36]-code) | [i] | ✔ | |
| 4 | Linear OA(2172, 1045, F2, 35) (dual of [1045, 873, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(2156, 1040, F2, 31) (dual of [1040, 884, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2157, 1050, F2, 31) (dual of [1050, 893, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2187, 1057, F2, 37) (dual of [1057, 870, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2189, 1062, F2, 37) (dual of [1062, 873, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(2162, 1057, F2, 31) (dual of [1057, 895, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(2164, 1067, F2, 31) (dual of [1067, 903, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(2204, 1072, F2, 39) (dual of [1072, 868, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2205, 1078, F2, 39) (dual of [1078, 873, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(2186, 1052, F2, 37) (dual of [1052, 866, 38]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(2176, 1052, F2, 35) (dual of [1052, 876, 36]-code) | [i] | ✔ | |
| 15 | Linear OA(2166, 1042, F2, 33) (dual of [1042, 876, 34]-code) | [i] | ✔ | |
| 16 | Linear OA(2156, 1042, F2, 31) (dual of [1042, 886, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(2163, 1061, F2, 31) (dual of [1061, 898, 32]-code) | [i] | ✔ | |
| 18 | Linear OA(2162, 1059, F2, 31) (dual of [1059, 897, 32]-code) | [i] | ✔ | |
| 19 | Linear OA(2161, 1057, F2, 31) (dual of [1057, 896, 32]-code) | [i] | ✔ | |
| 20 | Linear OOA(2151, 512, F2, 2, 31) (dual of [(512, 2), 873, 32]-NRT-code) | [i] | OOA Folding | |
| 21 | Linear OOA(2151, 256, F2, 4, 31) (dual of [(256, 4), 873, 32]-NRT-code) | [i] | ||