Information on Result #1218943
Digital (64, 78, 149847)-net over F16, using (u, u+v)-construction based on
- digital (5, 12, 50)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (0, 3, 17)-net over F16, using
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 0 and N(F) ≥ 17, using
- the rational function field F16(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 16)-sequence over F16, using
- digital (2, 9, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- digital (0, 3, 17)-net over F16, using
- (u, u+v)-construction [i] based on
- digital (52, 66, 149797)-net over F16, using
- net defined by OOA [i] based on linear OOA(1666, 149797, F16, 14, 14) (dual of [(149797, 14), 2097092, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(1666, 1048579, F16, 14) (dual of [1048579, 1048513, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(1666, 1048581, F16, 14) (dual of [1048581, 1048515, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(1666, 1048576, F16, 14) (dual of [1048576, 1048510, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(1661, 1048576, F16, 13) (dual of [1048576, 1048515, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(160, 5, F16, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- discarding factors / shortening the dual code based on linear OA(1666, 1048581, F16, 14) (dual of [1048581, 1048515, 15]-code), using
- OA 7-folding and stacking [i] based on linear OA(1666, 1048579, F16, 14) (dual of [1048579, 1048513, 15]-code), using
- net defined by OOA [i] based on linear OOA(1666, 149797, F16, 14, 14) (dual of [(149797, 14), 2097092, 15]-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.