Information on Result #2506359
Linear OOA(784, large, F7, 2, 9), using 1 times NRT-code embedding in larger space based on linear OOA(782, 8388602, F7, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using
- trace code [i] based on linear OOA(4941, 4194301, F49, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4941, 8388602, F49, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 28247525 | 4910−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(4941, large, F49, 9) (dual of [large, large−41, 10]-code), using
- OOA 2-folding [i] based on linear OA(4941, 8388602, F49, 9) (dual of [8388602, 8388561, 10]-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(785, large, F7, 2, 9) | [i] | OOA Duplication | |
| 2 | Linear OOA(784, 4194301, F7, 10, 9) (dual of [(4194301, 10), 41942926, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |