Information on Result #1070200
Linear OOA(12845, 2097150, F128, 4, 12) (dual of [(2097150, 4), 8388555, 13]-NRT-code), using OOA 4-folding based on linear OA(12845, 8388600, F128, 12) (dual of [8388600, 8388555, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(12845, large, F128, 12) (dual of [large, large−45, 13]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9256395 | 1284−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(12846, 2097150, F128, 4, 12) (dual of [(2097150, 4), 8388554, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(12851, 2097279, F128, 4, 12) (dual of [(2097279, 4), 8389065, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(12852, 2097300, F128, 4, 12) (dual of [(2097300, 4), 8389148, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(12854, 2097408, F128, 4, 12) (dual of [(2097408, 4), 8389578, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(12855, 2097429, F128, 4, 12) (dual of [(2097429, 4), 8389661, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(12856, 2102612, F128, 4, 12) (dual of [(2102612, 4), 8410392, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(12857, 2102613, F128, 4, 12) (dual of [(2102613, 4), 8410395, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(12858, 2102614, F128, 4, 12) (dual of [(2102614, 4), 8410398, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(12859, 2113661, F128, 4, 12) (dual of [(2113661, 4), 8454585, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(12860, 2113682, F128, 4, 12) (dual of [(2113682, 4), 8454668, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(12861, 2796201, F128, 4, 12) (dual of [(2796201, 4), 11184743, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(12862, 2796203, F128, 4, 12) (dual of [(2796203, 4), 11184750, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(12863, 2796204, F128, 4, 12) (dual of [(2796204, 4), 11184753, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(12864, 2796330, F128, 4, 12) (dual of [(2796330, 4), 11185256, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(12865, 2812586, F128, 4, 12) (dual of [(2812586, 4), 11250279, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(12859, 2113662, F128, 4, 12) (dual of [(2113662, 4), 8454589, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(12860, 2113683, F128, 4, 12) (dual of [(2113683, 4), 8454672, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(12875, 4202557, F128, 4, 12) (dual of [(4202557, 4), 16810153, 13]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 19 | Linear OOA(12876, 4210556, F128, 4, 12) (dual of [(4210556, 4), 16842148, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(12870, 4194429, F128, 4, 12) (dual of [(4194429, 4), 16777646, 13]-NRT-code) | [i] | ||
| 21 | Linear OOA(12871, 4194450, F128, 4, 12) (dual of [(4194450, 4), 16777729, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(12872, 4202428, F128, 4, 12) (dual of [(4202428, 4), 16809640, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(12873, 4202493, F128, 4, 12) (dual of [(4202493, 4), 16809899, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(12874, 4210812, F128, 4, 12) (dual of [(4210812, 4), 16843174, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(12875, 4210833, F128, 4, 12) (dual of [(4210833, 4), 16843257, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(12876, 5242877, F128, 4, 12) (dual of [(5242877, 4), 20971432, 13]-NRT-code) | [i] | ||
| 27 | Linear OOA(12877, 5242880, F128, 4, 12) (dual of [(5242880, 4), 20971443, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(12878, 5243006, F128, 4, 12) (dual of [(5243006, 4), 20971946, 13]-NRT-code) | [i] | ||