Information on Result #893957
Linear OOA(772, 8388602, F7, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using trace code based on linear OOA(4936, 4194301, F49, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4936, 8388602, F49, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(4936, large, F49, 8) (dual of [large, large−36, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568 | 495−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(4936, large, F49, 8) (dual of [large, large−36, 9]-code), using
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(774, large, F7, 2, 8) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(776, large, F7, 2, 8) | [i] | ||
| 3 | Linear OOA(778, large, F7, 2, 8) | [i] | ||
| 4 | Linear OOA(780, large, F7, 2, 8) | [i] | ||
| 5 | Linear OOA(782, large, F7, 2, 8) | [i] | ||
| 6 | Linear OOA(784, large, F7, 2, 8) | [i] | ||
| 7 | Linear OOA(786, large, F7, 2, 8) | [i] | ||
| 8 | Linear OOA(788, large, F7, 2, 8) | [i] | ||
| 9 | Linear OOA(790, large, F7, 2, 8) | [i] | ||
| 10 | Linear OOA(792, large, F7, 2, 8) | [i] | ||
| 11 | Linear OOA(794, large, F7, 2, 8) | [i] | ||
| 12 | Linear OOA(796, large, F7, 2, 8) | [i] | ||
| 13 | Linear OOA(798, large, F7, 2, 8) | [i] | ||
| 14 | Linear OOA(7100, large, F7, 2, 8) | [i] | ||
| 15 | Linear OOA(7102, large, F7, 2, 8) | [i] | ||
| 16 | Linear OOA(7104, large, F7, 2, 8) | [i] | ||
| 17 | Linear OOA(7106, large, F7, 2, 8) | [i] | ||
| 18 | Linear OOA(7108, large, F7, 2, 8) | [i] | ||
| 19 | Linear OOA(7110, large, F7, 2, 8) | [i] | ||
| 20 | Linear OOA(773, 8388602, F7, 2, 8) (dual of [(8388602, 2), 16777131, 9]-NRT-code) | [i] | OOA Duplication | |
| 21 | Linear OOA(772, 4194301, F7, 3, 8) (dual of [(4194301, 3), 12582831, 9]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(772, 4194300, F7, 10, 8) (dual of [(4194300, 10), 41942928, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |