Information on Result #1842322
(65, 73, 4226940)-net in base 8, using (u, u+v)-construction based on
- (11, 15, 32640)-net in base 8, using
- net defined by OOA [i] based on OOA(815, 32640, S8, 4, 4), using
- appending kth column [i] based on OOA(815, 32640, S8, 3, 4), using
- OA 2-folding and stacking [i] based on OA(815, 65280, S8, 4), using
- discarding parts of the base [i] based on linear OA(1611, 65280, F16, 4) (dual of [65280, 65269, 5]-code), using
- base reduction for projective spaces (embedding PG(5,256) in PG(10,16)) [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- 1 times truncation [i] based on linear OA(2567, 65281, F256, 5) (dual of [65281, 65274, 6]-code), using
- base reduction for projective spaces (embedding PG(5,256) in PG(10,16)) [i] based on linear OA(2566, 65280, F256, 4) (dual of [65280, 65274, 5]-code), using
- discarding parts of the base [i] based on linear OA(1611, 65280, F16, 4) (dual of [65280, 65269, 5]-code), using
- OA 2-folding and stacking [i] based on OA(815, 65280, S8, 4), using
- appending kth column [i] based on OOA(815, 32640, S8, 3, 4), using
- net defined by OOA [i] based on OOA(815, 32640, S8, 4, 4), using
- digital (50, 58, 4194300)-net over F8, using
- net defined by OOA [i] based on linear OOA(858, 4194300, F8, 10, 8) (dual of [(4194300, 10), 41942942, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(858, 8388601, F8, 2, 8) (dual of [(8388601, 2), 16777144, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(858, 8388602, F8, 2, 8) (dual of [(8388602, 2), 16777146, 9]-NRT-code), using
- trace code [i] based on linear OOA(6429, 4194301, F64, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(6429, 8388602, F64, 8) (dual of [8388602, 8388573, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(6429, large, F64, 8) (dual of [large, large−29, 9]-code), using
- OOA 2-folding [i] based on linear OA(6429, 8388602, F64, 8) (dual of [8388602, 8388573, 9]-code), using
- trace code [i] based on linear OOA(6429, 4194301, F64, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(858, 8388602, F8, 2, 8) (dual of [(8388602, 2), 16777146, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(858, 8388601, F8, 2, 8) (dual of [(8388601, 2), 16777144, 9]-NRT-code), using
- net defined by OOA [i] based on linear OOA(858, 4194300, F8, 10, 8) (dual of [(4194300, 10), 41942942, 9]-NRT-code), using
Mode: Constructive.
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.