Information on Result #1070242
Linear OOA(12849, 2097150, F128, 4, 13) (dual of [(2097150, 4), 8388551, 14]-NRT-code), using OOA 4-folding based on linear OA(12849, 8388600, F128, 13) (dual of [8388600, 8388551, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(12849, large, F128, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12850, 2097150, F128, 4, 13) (dual of [(2097150, 4), 8388550, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12855, 2097279, F128, 4, 13) (dual of [(2097279, 4), 8389061, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12856, 2097300, F128, 4, 13) (dual of [(2097300, 4), 8389144, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(12858, 2097408, F128, 4, 13) (dual of [(2097408, 4), 8389574, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(12859, 2097429, F128, 4, 13) (dual of [(2097429, 4), 8389657, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(12860, 2102612, F128, 4, 13) (dual of [(2102612, 4), 8410388, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(12861, 2102613, F128, 4, 13) (dual of [(2102613, 4), 8410391, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(12862, 2102614, F128, 4, 13) (dual of [(2102614, 4), 8410394, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(12863, 2113661, F128, 4, 13) (dual of [(2113661, 4), 8454581, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(12864, 2113682, F128, 4, 13) (dual of [(2113682, 4), 8454664, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(12865, 2796201, F128, 4, 13) (dual of [(2796201, 4), 11184739, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(12866, 2796203, F128, 4, 13) (dual of [(2796203, 4), 11184746, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(12867, 2796204, F128, 4, 13) (dual of [(2796204, 4), 11184749, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(12868, 2796330, F128, 4, 13) (dual of [(2796330, 4), 11185252, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(12869, 2812586, F128, 4, 13) (dual of [(2812586, 4), 11250275, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(12863, 2113662, F128, 4, 13) (dual of [(2113662, 4), 8454585, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(12864, 2113683, F128, 4, 13) (dual of [(2113683, 4), 8454668, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(12874, 4194429, F128, 4, 13) (dual of [(4194429, 4), 16777642, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 19 | Linear OOA(12875, 4194450, F128, 4, 13) (dual of [(4194450, 4), 16777725, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(12876, 4202428, F128, 4, 13) (dual of [(4202428, 4), 16809636, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(12877, 4202493, F128, 4, 13) (dual of [(4202493, 4), 16809895, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(12878, 4210812, F128, 4, 13) (dual of [(4210812, 4), 16843170, 14]-NRT-code) | [i] | ||