Information on Result #611420
Linear OA(2216, 1024, F2, 45) (dual of [1024, 808, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45
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(2238, 1047, F2, 45) (dual of [1047, 809, 46]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2227, 1035, F2, 47) (dual of [1035, 808, 48]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2217, 1035, F2, 45) (dual of [1035, 818, 46]-code) | [i] | ✔ | |
| 4 | Linear OA(2241, 1040, F2, 49) (dual of [1040, 799, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(2242, 1050, F2, 49) (dual of [1050, 808, 50]-code) | [i] | ✔ | |
| 6 | Linear OA(2221, 1040, F2, 45) (dual of [1040, 819, 46]-code) | [i] | ✔ | |
| 7 | Linear OA(2222, 1050, F2, 45) (dual of [1050, 828, 46]-code) | [i] | ✔ | |
| 8 | Linear OA(2257, 1057, F2, 51) (dual of [1057, 800, 52]-code) | [i] | ✔ | |
| 9 | Linear OA(2259, 1067, F2, 51) (dual of [1067, 808, 52]-code) | [i] | ✔ | |
| 10 | Linear OA(2227, 1057, F2, 45) (dual of [1057, 830, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(2229, 1067, F2, 45) (dual of [1067, 838, 46]-code) | [i] | ✔ | |
| 12 | Linear OA(2235, 1083, F2, 45) (dual of [1083, 848, 46]-code) | [i] | ✔ | |
| 13 | Linear OA(2258, 1061, F2, 51) (dual of [1061, 803, 52]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(2257, 1059, F2, 51) (dual of [1059, 802, 52]-code) | [i] | ✔ | |
| 15 | Linear OA(2256, 1057, F2, 51) (dual of [1057, 801, 52]-code) | [i] | ✔ | |
| 16 | Linear OA(2241, 1042, F2, 49) (dual of [1042, 801, 50]-code) | [i] | ✔ | |
| 17 | Linear OA(2248, 1061, F2, 49) (dual of [1061, 813, 50]-code) | [i] | ✔ | |
| 18 | Linear OA(2247, 1059, F2, 49) (dual of [1059, 812, 50]-code) | [i] | ✔ | |
| 19 | Linear OA(2246, 1057, F2, 49) (dual of [1057, 811, 50]-code) | [i] | ✔ | |
| 20 | Linear OA(2231, 1042, F2, 47) (dual of [1042, 811, 48]-code) | [i] | ✔ | |
| 21 | Linear OA(2221, 1042, F2, 45) (dual of [1042, 821, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(2228, 1061, F2, 45) (dual of [1061, 833, 46]-code) | [i] | ✔ | |
| 23 | Linear OA(2227, 1059, F2, 45) (dual of [1059, 832, 46]-code) | [i] | ✔ | |
| 24 | Linear OA(2226, 1057, F2, 45) (dual of [1057, 831, 46]-code) | [i] | ✔ | |
| 25 | Linear OOA(2216, 512, F2, 2, 45) (dual of [(512, 2), 808, 46]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(2216, 256, F2, 4, 45) (dual of [(256, 4), 808, 46]-NRT-code) | [i] | ||