Information on Result #1198048
Digital (72, 89, 1048582)-net over F27, using net defined by OOA based on linear OOA(2789, 1048582, F27, 18, 17) (dual of [(1048582, 18), 18874387, 18]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(2789, 4194329, F27, 2, 17) (dual of [(4194329, 2), 8388569, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(278, 28, F27, 2, 8) (dual of [(28, 2), 48, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;48,27) [i]
- linear OOA(2781, 4194301, F27, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2781, 8388602, F27, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- OOA 2-folding [i] based on linear OA(2781, 8388602, F27, 17) (dual of [8388602, 8388521, 18]-code), using
- linear OOA(278, 28, F27, 2, 8) (dual of [(28, 2), 48, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
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.