Information on Result #611386
Linear OA(2186, 1024, F2, 39) (dual of [1024, 838, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39
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(2205, 1044, F2, 39) (dual of [1044, 839, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2197, 1035, F2, 41) (dual of [1035, 838, 42]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2187, 1035, F2, 39) (dual of [1035, 848, 40]-code) | [i] | ✔ | |
| 4 | Linear OA(2211, 1040, F2, 43) (dual of [1040, 829, 44]-code) | [i] | ✔ | |
| 5 | Linear OA(2212, 1050, F2, 43) (dual of [1050, 838, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(2191, 1040, F2, 39) (dual of [1040, 849, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(2192, 1050, F2, 39) (dual of [1050, 858, 40]-code) | [i] | ✔ | |
| 8 | Linear OA(2227, 1057, F2, 45) (dual of [1057, 830, 46]-code) | [i] | ✔ | |
| 9 | Linear OA(2229, 1067, F2, 45) (dual of [1067, 838, 46]-code) | [i] | ✔ | |
| 10 | Linear OA(2197, 1057, F2, 39) (dual of [1057, 860, 40]-code) | [i] | ✔ | |
| 11 | Linear OA(2199, 1062, F2, 39) (dual of [1062, 863, 40]-code) | [i] | ✔ | |
| 12 | Linear OA(2245, 1083, F2, 47) (dual of [1083, 838, 48]-code) | [i] | ✔ | |
| 13 | Linear OA(2204, 1072, F2, 39) (dual of [1072, 868, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(2205, 1078, F2, 39) (dual of [1078, 873, 40]-code) | [i] | ✔ | |
| 15 | Linear OA(2228, 1061, F2, 45) (dual of [1061, 833, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 16 | Linear OA(2227, 1059, F2, 45) (dual of [1059, 832, 46]-code) | [i] | ✔ | |
| 17 | Linear OA(2226, 1057, F2, 45) (dual of [1057, 831, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(2211, 1042, F2, 43) (dual of [1042, 831, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(2218, 1061, F2, 43) (dual of [1061, 843, 44]-code) | [i] | ✔ | |
| 20 | Linear OA(2217, 1059, F2, 43) (dual of [1059, 842, 44]-code) | [i] | ✔ | |
| 21 | Linear OA(2216, 1057, F2, 43) (dual of [1057, 841, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(2201, 1042, F2, 41) (dual of [1042, 841, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(2191, 1042, F2, 39) (dual of [1042, 851, 40]-code) | [i] | ✔ | |
| 24 | Linear OA(2198, 1061, F2, 39) (dual of [1061, 863, 40]-code) | [i] | ✔ | |
| 25 | Linear OA(2197, 1059, F2, 39) (dual of [1059, 862, 40]-code) | [i] | ✔ | |
| 26 | Linear OA(2196, 1057, F2, 39) (dual of [1057, 861, 40]-code) | [i] | ✔ | |
| 27 | Linear OA(2195, 1055, F2, 39) (dual of [1055, 860, 40]-code) | [i] | ✔ | |
| 28 | Linear OA(2194, 1053, F2, 39) (dual of [1053, 859, 40]-code) | [i] | ✔ | |
| 29 | Linear OOA(2186, 512, F2, 2, 39) (dual of [(512, 2), 838, 40]-NRT-code) | [i] | OOA Folding | |
| 30 | Linear OOA(2186, 256, F2, 4, 39) (dual of [(256, 4), 838, 40]-NRT-code) | [i] | ||