Information on Result #611367
Linear OA(2176, 1024, F2, 37) (dual of [1024, 848, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(2194, 1043, F2, 37) (dual of [1043, 849, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2187, 1035, F2, 39) (dual of [1035, 848, 40]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2177, 1035, F2, 37) (dual of [1035, 858, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(2201, 1040, F2, 41) (dual of [1040, 839, 42]-code) | [i] | ✔ | |
| 5 | Linear OA(2202, 1050, F2, 41) (dual of [1050, 848, 42]-code) | [i] | ✔ | |
| 6 | Linear OA(2181, 1040, F2, 37) (dual of [1040, 859, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(2182, 1045, F2, 37) (dual of [1045, 863, 38]-code) | [i] | ✔ | |
| 8 | Linear OA(2217, 1057, F2, 43) (dual of [1057, 840, 44]-code) | [i] | ✔ | |
| 9 | Linear OA(2219, 1067, F2, 43) (dual of [1067, 848, 44]-code) | [i] | ✔ | |
| 10 | Linear OA(2187, 1057, F2, 37) (dual of [1057, 870, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(2189, 1062, F2, 37) (dual of [1062, 873, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(2235, 1083, F2, 45) (dual of [1083, 848, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(2194, 1072, F2, 37) (dual of [1072, 878, 38]-code) | [i] | ✔ | |
| 14 | Linear OA(2195, 1078, F2, 37) (dual of [1078, 883, 38]-code) | [i] | ✔ | |
| 15 | Linear OA(2218, 1061, F2, 43) (dual of [1061, 843, 44]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(2217, 1059, F2, 43) (dual of [1059, 842, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(2216, 1057, F2, 43) (dual of [1057, 841, 44]-code) | [i] | ✔ | |
| 18 | Linear OA(2201, 1042, F2, 41) (dual of [1042, 841, 42]-code) | [i] | ✔ | |
| 19 | Linear OA(2208, 1061, F2, 41) (dual of [1061, 853, 42]-code) | [i] | ✔ | |
| 20 | Linear OA(2207, 1059, F2, 41) (dual of [1059, 852, 42]-code) | [i] | ✔ | |
| 21 | Linear OA(2206, 1057, F2, 41) (dual of [1057, 851, 42]-code) | [i] | ✔ | |
| 22 | Linear OA(2191, 1042, F2, 39) (dual of [1042, 851, 40]-code) | [i] | ✔ | |
| 23 | Linear OA(2181, 1042, F2, 37) (dual of [1042, 861, 38]-code) | [i] | ✔ | |
| 24 | Linear OA(2180, 1040, F2, 37) (dual of [1040, 860, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(2179, 1038, F2, 37) (dual of [1038, 859, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(2186, 1052, F2, 37) (dual of [1052, 866, 38]-code) | [i] | ✔ | |
| 27 | Linear OOA(2176, 512, F2, 2, 37) (dual of [(512, 2), 848, 38]-NRT-code) | [i] | OOA Folding | |
| 28 | Linear OOA(2176, 256, F2, 4, 37) (dual of [(256, 4), 848, 38]-NRT-code) | [i] | ||