Information on Result #1186068
Digital (89, 98, 4194300)-net over F4, using net defined by OOA based on linear OOA(498, 4194300, F4, 10, 9) (dual of [(4194300, 10), 41942902, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(498, 8388601, F4, 2, 9) (dual of [(8388601, 2), 16777104, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(498, 8388602, F4, 2, 9) (dual of [(8388602, 2), 16777106, 10]-NRT-code), using
- trace code [i] based on linear OOA(1649, 4194301, F16, 2, 9) (dual of [(4194301, 2), 8388553, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1649, 8388602, F16, 9) (dual of [8388602, 8388553, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(1649, large, F16, 9) (dual of [large, large−49, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, 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(1649, large, F16, 9) (dual of [large, large−49, 10]-code), using
- OOA 2-folding [i] based on linear OA(1649, 8388602, F16, 9) (dual of [8388602, 8388553, 10]-code), using
- trace code [i] based on linear OOA(1649, 4194301, F16, 2, 9) (dual of [(4194301, 2), 8388553, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(498, 8388602, F4, 2, 9) (dual of [(8388602, 2), 16777106, 10]-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.