Information on Result #1214764
Digital (71, 90, 1875)-net over F7, using (u, u+v)-construction based on
- digital (0, 9, 8)-net over F7, using
- net from sequence [i] based on digital (0, 7)-sequence over F7, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 0 and N(F) ≥ 8, using
- the rational function field F7(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 7)-sequence over F7, using
- digital (62, 81, 1867)-net over F7, using
- net defined by OOA [i] based on linear OOA(781, 1867, F7, 19, 19) (dual of [(1867, 19), 35392, 20]-NRT-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(781, 16804, F7, 19) (dual of [16804, 16723, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(781, 16807, F7, 19) (dual of [16807, 16726, 20]-code), using
- OOA 9-folding and stacking with additional row [i] based on linear OA(781, 16804, F7, 19) (dual of [16804, 16723, 20]-code), using
- net defined by OOA [i] based on linear OOA(781, 1867, F7, 19, 19) (dual of [(1867, 19), 35392, 20]-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.