Information on Result #1226489
Digital (39, 51, 960850)-net over F49, using (u, u+v)-construction based on
- digital (0, 6, 50)-net over F49, using
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 49)-sequence over F49, using
- digital (33, 45, 960800)-net over F49, using
- net defined by OOA [i] based on linear OOA(4945, 960800, F49, 12, 12) (dual of [(960800, 12), 11529555, 13]-NRT-code), using
- OA 6-folding and stacking [i] based on linear OA(4945, 5764800, F49, 12) (dual of [5764800, 5764755, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- discarding factors / shortening the dual code based on linear OA(4945, 5764801, F49, 12) (dual of [5764801, 5764756, 13]-code), using
- OA 6-folding and stacking [i] based on linear OA(4945, 5764800, F49, 12) (dual of [5764800, 5764755, 13]-code), using
- net defined by OOA [i] based on linear OOA(4945, 960800, F49, 12, 12) (dual of [(960800, 12), 11529555, 13]-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.