Information on Result #1213402
Digital (59, 70, 78131)-net over F5, using (u, u+v)-construction based on
- digital (0, 5, 6)-net over F5, using
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 0 and N(F) ≥ 6, using
- the rational function field F5(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 5)-sequence over F5, using
- digital (54, 65, 78125)-net over F5, using
- net defined by OOA [i] based on linear OOA(565, 78125, F5, 11, 11) (dual of [(78125, 11), 859310, 12]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OA(565, 390626, F5, 11) (dual of [390626, 390561, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 390626 | 516−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 5-folding and stacking with additional row [i] based on linear OA(565, 390626, F5, 11) (dual of [390626, 390561, 12]-code), using
- net defined by OOA [i] based on linear OOA(565, 78125, F5, 11, 11) (dual of [(78125, 11), 859310, 12]-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.