Information on Result #944541
Linear OOA(532, 8388601, F5, 3, 4) (dual of [(8388601, 3), 25165771, 5]-NRT-code), using OOA stacking with additional row based on linear OOA(532, 8388602, F5, 2, 4) (dual of [(8388602, 2), 16777172, 5]-NRT-code), using
- trace code [i] based on linear OOA(2516, 4194301, F25, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(2516, large, F25, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(2516, 8388602, F25, 4) (dual of [8388602, 8388586, 5]-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(534, large, F5, 3, 4) | [i] | (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(532, 8388601, F5, 4, 4) (dual of [(8388601, 4), 33554372, 5]-NRT-code) | [i] | Appending kth Column | |