Information on Result #2506317
Linear OOA(782, large, F7, 2, 8), using 5 times NRT-code embedding in larger space based on linear OOA(772, 8388602, F7, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
- trace code [i] 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
- OOA 2-folding [i] based on linear OA(4936, 8388602, F49, 8) (dual of [8388602, 8388566, 9]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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(783, large, F7, 2, 8) | [i] | OOA Duplication | |