Information on Result #1213765
Digital (90, 108, 8687)-net over F5, using (u, u+v)-construction based on
- digital (0, 9, 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 (81, 99, 8681)-net over F5, using
- net defined by OOA [i] based on linear OOA(599, 8681, F5, 18, 18) (dual of [(8681, 18), 156159, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(599, 78129, F5, 18) (dual of [78129, 78030, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(599, 78132, F5, 18) (dual of [78132, 78033, 19]-code), using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- linear OA(599, 78125, F5, 18) (dual of [78125, 78026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(592, 78125, F5, 17) (dual of [78125, 78033, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(50, 7, F5, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(17) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(599, 78132, F5, 18) (dual of [78132, 78033, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(599, 78129, F5, 18) (dual of [78129, 78030, 19]-code), using
- net defined by OOA [i] based on linear OOA(599, 8681, F5, 18, 18) (dual of [(8681, 18), 156159, 19]-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.