Information on Result #992495
Linear OOA(12857, 2796201, F128, 3, 15) (dual of [(2796201, 3), 8388546, 16]-NRT-code), using OOA 3-folding based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(12860, 2796202, F128, 3, 15) (dual of [(2796202, 3), 8388546, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(12863, 2796203, F128, 3, 15) (dual of [(2796203, 3), 8388546, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(12858, 2796201, F128, 3, 15) (dual of [(2796201, 3), 8388545, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(12859, 2796201, F128, 3, 15) (dual of [(2796201, 3), 8388544, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(12864, 2796330, F128, 3, 15) (dual of [(2796330, 3), 8388926, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(12865, 2796351, F128, 3, 15) (dual of [(2796351, 3), 8388988, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(12867, 2796459, F128, 3, 15) (dual of [(2796459, 3), 8389310, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(12868, 2796480, F128, 3, 15) (dual of [(2796480, 3), 8389372, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(12869, 2796501, F128, 3, 15) (dual of [(2796501, 3), 8389434, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(12870, 2801663, F128, 3, 15) (dual of [(2801663, 3), 8404919, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(12871, 2801664, F128, 3, 15) (dual of [(2801664, 3), 8404921, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(12872, 2801665, F128, 3, 15) (dual of [(2801665, 3), 8404923, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(12873, 2804457, F128, 3, 15) (dual of [(2804457, 3), 8413298, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(12874, 2807125, F128, 3, 15) (dual of [(2807125, 3), 8421301, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(12875, 2807127, F128, 3, 15) (dual of [(2807127, 3), 8421306, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(12876, 3495252, F128, 3, 15) (dual of [(3495252, 3), 10485680, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(12877, 3495254, F128, 3, 15) (dual of [(3495254, 3), 10485685, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(12878, 3495255, F128, 3, 15) (dual of [(3495255, 3), 10485687, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(12869, 2796588, F128, 3, 15) (dual of [(2796588, 3), 8389695, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(12873, 2812713, F128, 3, 15) (dual of [(2812713, 3), 8438066, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(12874, 2812734, F128, 3, 15) (dual of [(2812734, 3), 8438128, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(12875, 2812755, F128, 3, 15) (dual of [(2812755, 3), 8438190, 16]-NRT-code) | [i] | ||