Information on Result #1214381
Digital (33, 41, 29420)-net over F7, using (u, u+v)-construction based on
- digital (0, 4, 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 (29, 37, 29412)-net over F7, using
- net defined by OOA [i] based on linear OOA(737, 29412, F7, 8, 8) (dual of [(29412, 8), 235259, 9]-NRT-code), using
- OA 4-folding and stacking [i] based on linear OA(737, 117648, F7, 8) (dual of [117648, 117611, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 117648 = 76−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(737, 117649, F7, 8) (dual of [117649, 117612, 9]-code), using
- OA 4-folding and stacking [i] based on linear OA(737, 117648, F7, 8) (dual of [117648, 117611, 9]-code), using
- net defined by OOA [i] based on linear OOA(737, 29412, F7, 8, 8) (dual of [(29412, 8), 235259, 9]-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.