Information on Result #1205714
Digital (97, 114, 2097406)-net over F16, using trace code for nets based on digital (40, 57, 1048703)-net over F256, using
- net defined by OOA [i] based on linear OOA(25657, 1048703, F256, 20, 17) (dual of [(1048703, 20), 20974003, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25657, 2097407, F256, 4, 17) (dual of [(2097407, 4), 8389571, 18]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2568, 257, F256, 4, 8) (dual of [(257, 4), 1020, 9]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1020,256) [i]
- linear OOA(25649, 2097150, F256, 4, 17) (dual of [(2097150, 4), 8388551, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- discarding factors / shortening the dual code based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- OOA 4-folding [i] based on linear OA(25649, 8388600, F256, 17) (dual of [8388600, 8388551, 18]-code), using
- linear OOA(2568, 257, F256, 4, 8) (dual of [(257, 4), 1020, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- OOA 2-folding and stacking with additional row [i] based on linear OOA(25657, 2097407, F256, 4, 17) (dual of [(2097407, 4), 8389571, 18]-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.