Information on Result #1188266
Digital (55, 62, 4194300)-net over F5, using net defined by OOA based on linear OOA(562, 4194300, F5, 10, 7) (dual of [(4194300, 10), 41942938, 8]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(562, 8388601, F5, 2, 7) (dual of [(8388601, 2), 16777140, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(562, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777142, 8]-NRT-code), using
- trace code [i] based on linear OOA(2531, 4194301, F25, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2531, large, F25, 7) (dual of [large, large−31, 8]-code), using
- OOA 2-folding [i] based on linear OA(2531, 8388602, F25, 7) (dual of [8388602, 8388571, 8]-code), using
- trace code [i] based on linear OOA(2531, 4194301, F25, 2, 7) (dual of [(4194301, 2), 8388571, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(562, 8388602, F5, 2, 7) (dual of [(8388602, 2), 16777142, 8]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.