Information on Result #1211690
Digital (217, 252, 15425)-net over F4, using (u, u+v)-construction based on
- digital (0, 17, 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 (200, 235, 15420)-net over F4, using
- net defined by OOA [i] based on linear OOA(4235, 15420, F4, 35, 35) (dual of [(15420, 35), 539465, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4235, 262141, F4, 35) (dual of [262141, 261906, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using
- an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- discarding factors / shortening the dual code based on linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4235, 262141, F4, 35) (dual of [262141, 261906, 36]-code), using
- net defined by OOA [i] based on linear OOA(4235, 15420, F4, 35, 35) (dual of [(15420, 35), 539465, 36]-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.