Information on Result #1211175
Digital (114, 139, 1370)-net over F4, using (u, u+v)-construction based on
- digital (0, 12, 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 (102, 127, 1365)-net over F4, using
- net defined by OOA [i] based on linear OOA(4127, 1365, F4, 25, 25) (dual of [(1365, 25), 33998, 26]-NRT-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4127, 16381, F4, 25) (dual of [16381, 16254, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using
- an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- discarding factors / shortening the dual code based on linear OA(4127, 16384, F4, 25) (dual of [16384, 16257, 26]-code), using
- OOA 12-folding and stacking with additional row [i] based on linear OA(4127, 16381, F4, 25) (dual of [16381, 16254, 26]-code), using
- net defined by OOA [i] based on linear OOA(4127, 1365, F4, 25, 25) (dual of [(1365, 25), 33998, 26]-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.