Information on Result #611403
Linear OA(2196, 1024, F2, 41) (dual of [1024, 828, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41
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(2216, 1045, F2, 41) (dual of [1045, 829, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2207, 1035, F2, 43) (dual of [1035, 828, 44]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 3 | Linear OA(2197, 1035, F2, 41) (dual of [1035, 838, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(2221, 1040, F2, 45) (dual of [1040, 819, 46]-code) | [i] | ✔ | |
| 5 | Linear OA(2222, 1050, F2, 45) (dual of [1050, 828, 46]-code) | [i] | ✔ | |
| 6 | Linear OA(2201, 1040, F2, 41) (dual of [1040, 839, 42]-code) | [i] | ✔ | |
| 7 | Linear OA(2202, 1050, F2, 41) (dual of [1050, 848, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(2237, 1057, F2, 47) (dual of [1057, 820, 48]-code) | [i] | ✔ | |
| 9 | Linear OA(2239, 1067, F2, 47) (dual of [1067, 828, 48]-code) | [i] | ✔ | |
| 10 | Linear OA(2207, 1057, F2, 41) (dual of [1057, 850, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(2209, 1067, F2, 41) (dual of [1067, 858, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(2255, 1083, F2, 49) (dual of [1083, 828, 50]-code) | [i] | ✔ | |
| 13 | Linear OA(2215, 1078, F2, 41) (dual of [1078, 863, 42]-code) | [i] | ✔ | |
| 14 | Linear OA(2238, 1061, F2, 47) (dual of [1061, 823, 48]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 15 | Linear OA(2237, 1059, F2, 47) (dual of [1059, 822, 48]-code) | [i] | ✔ | |
| 16 | Linear OA(2236, 1057, F2, 47) (dual of [1057, 821, 48]-code) | [i] | ✔ | |
| 17 | Linear OA(2221, 1042, F2, 45) (dual of [1042, 821, 46]-code) | [i] | ✔ | |
| 18 | Linear OA(2228, 1061, F2, 45) (dual of [1061, 833, 46]-code) | [i] | ✔ | |
| 19 | Linear OA(2227, 1059, F2, 45) (dual of [1059, 832, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(2226, 1057, F2, 45) (dual of [1057, 831, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(2211, 1042, F2, 43) (dual of [1042, 831, 44]-code) | [i] | ✔ | |
| 22 | Linear OA(2201, 1042, F2, 41) (dual of [1042, 841, 42]-code) | [i] | ✔ | |
| 23 | Linear OA(2208, 1061, F2, 41) (dual of [1061, 853, 42]-code) | [i] | ✔ | |
| 24 | Linear OA(2207, 1059, F2, 41) (dual of [1059, 852, 42]-code) | [i] | ✔ | |
| 25 | Linear OA(2206, 1057, F2, 41) (dual of [1057, 851, 42]-code) | [i] | ✔ | |
| 26 | Linear OOA(2196, 512, F2, 2, 41) (dual of [(512, 2), 828, 42]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(2196, 256, F2, 4, 41) (dual of [(256, 4), 828, 42]-NRT-code) | [i] | ||