Information on Result #619651
Linear OA(12867, 2097153, F128, 23) (dual of [2097153, 2097086, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound)
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(12878, 2097282, F128, 23) (dual of [2097282, 2097204, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12877, 2097164, F128, 23) (dual of [2097164, 2097087, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(12874, 2097160, F128, 25) (dual of [2097160, 2097086, 26]-code) | [i] | ✔ | |
| 4 | Linear OA(12868, 2097160, F128, 23) (dual of [2097160, 2097092, 24]-code) | [i] | ✔ | |
| 5 | Linear OA(12870, 2097168, F128, 23) (dual of [2097168, 2097098, 24]-code) | [i] | ✔ | |
| 6 | Linear OA(12872, 2097176, F128, 23) (dual of [2097176, 2097104, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(12874, 2097184, F128, 23) (dual of [2097184, 2097110, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(12876, 2097192, F128, 23) (dual of [2097192, 2097116, 24]-code) | [i] | ✔ | |
| 9 | Linear OOA(12867, 699051, F128, 3, 23) (dual of [(699051, 3), 2097086, 24]-NRT-code) | [i] | OOA Folding | |