Information on Result #611192
Linear OA(2111, 1024, F2, 23) (dual of [1024, 913, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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(2122, 1035, F2, 25) (dual of [1035, 913, 26]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2112, 1035, F2, 23) (dual of [1035, 923, 24]-code) | [i] | ✔ | |
| 3 | Linear OA(2136, 1040, F2, 27) (dual of [1040, 904, 28]-code) | [i] | ✔ | |
| 4 | Linear OA(2137, 1050, F2, 27) (dual of [1050, 913, 28]-code) | [i] | ✔ | |
| 5 | Linear OA(2116, 1040, F2, 23) (dual of [1040, 924, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(2117, 1050, F2, 23) (dual of [1050, 933, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(2152, 1057, F2, 29) (dual of [1057, 905, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(2154, 1067, F2, 29) (dual of [1067, 913, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(2153, 1061, F2, 29) (dual of [1061, 908, 30]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(2152, 1059, F2, 29) (dual of [1059, 907, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(2151, 1057, F2, 29) (dual of [1057, 906, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(2136, 1042, F2, 27) (dual of [1042, 906, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(2143, 1061, F2, 27) (dual of [1061, 918, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(2142, 1059, F2, 27) (dual of [1059, 917, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(2141, 1057, F2, 27) (dual of [1057, 916, 28]-code) | [i] | ✔ | |
| 16 | Linear OA(2126, 1042, F2, 25) (dual of [1042, 916, 26]-code) | [i] | ✔ | |
| 17 | Linear OA(2116, 1042, F2, 23) (dual of [1042, 926, 24]-code) | [i] | ✔ | |
| 18 | Linear OA(2121, 1057, F2, 23) (dual of [1057, 936, 24]-code) | [i] | ✔ | |
| 19 | Linear OOA(2111, 512, F2, 2, 23) (dual of [(512, 2), 913, 24]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(2111, 256, F2, 4, 23) (dual of [(256, 4), 913, 24]-NRT-code) | [i] | ||
| 21 | Linear OOA(2111, 128, F2, 8, 23) (dual of [(128, 8), 913, 24]-NRT-code) | [i] | ||