Information on Result #1210813
Digital (196, 215, 1864137)-net over F4, using (u, u+v)-construction based on
- digital (0, 9, 5)-net over F4, using
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 0 and N(F) ≥ 5, using
- the rational function field F4(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 4)-sequence over F4, using
- digital (187, 206, 1864132)-net over F4, using
- trace code for nets [i] based on digital (84, 103, 932066)-net over F16, using
- net defined by OOA [i] based on linear OOA(16103, 932066, F16, 19, 19) (dual of [(932066, 19), 17709151, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(16103, 8388595, F16, 19) (dual of [8388595, 8388492, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 166−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(16103, large, F16, 19) (dual of [large, large−103, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(16103, 8388595, F16, 19) (dual of [8388595, 8388492, 20]-code), using
- net defined by OOA [i] based on linear OOA(16103, 932066, F16, 19, 19) (dual of [(932066, 19), 17709151, 20]-NRT-code), using
- trace code for nets [i] based on digital (84, 103, 932066)-net over F16, 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.