Information on Result #619638
Linear OA(12861, 2097153, F128, 21) (dual of [2097153, 2097092, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 1286−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(12871, 2097282, F128, 21) (dual of [2097282, 2097211, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12872, 2097303, F128, 21) (dual of [2097303, 2097231, 22]-code) | [i] | ||
| 3 | Linear OA(12873, 2097305, F128, 21) (dual of [2097305, 2097232, 22]-code) | [i] | ||
| 4 | Linear OA(12874, 2097345, F128, 21) (dual of [2097345, 2097271, 22]-code) | [i] | ||
| 5 | Linear OA(12875, 2097347, F128, 21) (dual of [2097347, 2097272, 22]-code) | [i] | ||
| 6 | Linear OA(12876, 2097409, F128, 21) (dual of [2097409, 2097333, 22]-code) | [i] | ||
| 7 | Linear OA(12877, 2097535, F128, 21) (dual of [2097535, 2097458, 22]-code) | [i] | ||
| 8 | Linear OA(12876, 2097411, F128, 21) (dual of [2097411, 2097335, 22]-code) | [i] | ||
| 9 | Linear OA(12877, 2097171, F128, 21) (dual of [2097171, 2097094, 22]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 10 | Linear OA(12878, 2097411, F128, 21) (dual of [2097411, 2097333, 22]-code) | [i] | ||
| 11 | Linear OA(12871, 2097164, F128, 21) (dual of [2097164, 2097093, 22]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 12 | Linear OA(12868, 2097160, F128, 23) (dual of [2097160, 2097092, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(12862, 2097160, F128, 21) (dual of [2097160, 2097098, 22]-code) | [i] | ✔ | |
| 14 | Linear OA(12876, 2097168, F128, 25) (dual of [2097168, 2097092, 26]-code) | [i] | ✔ | |
| 15 | Linear OA(12864, 2097168, F128, 21) (dual of [2097168, 2097104, 22]-code) | [i] | ✔ | |
| 16 | Linear OA(12866, 2097176, F128, 21) (dual of [2097176, 2097110, 22]-code) | [i] | ✔ | |
| 17 | Linear OA(12868, 2097184, F128, 21) (dual of [2097184, 2097116, 22]-code) | [i] | ✔ | |
| 18 | Linear OA(12870, 2097192, F128, 21) (dual of [2097192, 2097122, 22]-code) | [i] | ✔ | |
| 19 | Linear OOA(12861, 699051, F128, 3, 21) (dual of [(699051, 3), 2097092, 22]-NRT-code) | [i] | OOA Folding | |