Information on Result #1194808
Digital (26, 32, 4194300)-net over F16, using net defined by OOA based on linear OOA(1632, 4194300, F16, 10, 6) (dual of [(4194300, 10), 41942968, 7]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1632, 8388601, F16, 2, 6) (dual of [(8388601, 2), 16777170, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1632, 8388602, F16, 2, 6) (dual of [(8388602, 2), 16777172, 7]-NRT-code), using
- trace code [i] based on linear OOA(25616, 4194301, F256, 2, 6) (dual of [(4194301, 2), 8388586, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- OOA 2-folding [i] based on linear OA(25616, 8388602, F256, 6) (dual of [8388602, 8388586, 7]-code), using
- trace code [i] based on linear OOA(25616, 4194301, F256, 2, 6) (dual of [(4194301, 2), 8388586, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1632, 8388602, F16, 2, 6) (dual of [(8388602, 2), 16777172, 7]-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.