Information on Result #1227880
Digital (34, 54, 820)-net over F81, using (u, u+v)-construction based on
- digital (5, 15, 164)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (0, 5, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- digital (0, 10, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81 (see above)
- digital (0, 5, 82)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (19, 39, 656)-net over F81, using
- net defined by OOA [i] based on linear OOA(8139, 656, F81, 20, 20) (dual of [(656, 20), 13081, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(8139, 6560, F81, 20) (dual of [6560, 6521, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- discarding factors / shortening the dual code based on linear OA(8139, 6561, F81, 20) (dual of [6561, 6522, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(8139, 6560, F81, 20) (dual of [6560, 6521, 21]-code), using
- net defined by OOA [i] based on linear OOA(8139, 656, F81, 20, 20) (dual of [(656, 20), 13081, 21]-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.