Information on Result #673066
Linear OA(2121, 1024, F2, 25) (dual of [1024, 903, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(2132, 1035, F2, 27) (dual of [1035, 903, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(2122, 1035, F2, 25) (dual of [1035, 913, 26]-code) | [i] | ✔ | |
| 3 | Linear OA(2162, 1057, F2, 31) (dual of [1057, 895, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2164, 1067, F2, 31) (dual of [1067, 903, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2132, 1057, F2, 25) (dual of [1057, 925, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(2163, 1061, F2, 31) (dual of [1061, 898, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(2162, 1059, F2, 31) (dual of [1059, 897, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(2161, 1057, F2, 31) (dual of [1057, 896, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(2146, 1042, F2, 29) (dual of [1042, 896, 30]-code) | [i] | ✔ | |
| 10 | Linear OA(2153, 1061, F2, 29) (dual of [1061, 908, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(2152, 1059, F2, 29) (dual of [1059, 907, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(2151, 1057, F2, 29) (dual of [1057, 906, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(2136, 1042, F2, 27) (dual of [1042, 906, 28]-code) | [i] | ✔ | |
| 14 | Linear OA(2126, 1042, F2, 25) (dual of [1042, 916, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(2132, 1059, F2, 25) (dual of [1059, 927, 26]-code) | [i] | ✔ | |
| 16 | Linear OA(2131, 1057, F2, 25) (dual of [1057, 926, 26]-code) | [i] | ✔ | |
| 17 | Linear OOA(2121, 512, F2, 2, 25) (dual of [(512, 2), 903, 26]-NRT-code) | [i] | OOA Folding | |
| 18 | Linear OOA(2121, 256, F2, 4, 25) (dual of [(256, 4), 903, 26]-NRT-code) | [i] | ||
| 19 | Linear OOA(2121, 128, F2, 8, 25) (dual of [(128, 8), 903, 26]-NRT-code) | [i] | ||