Information on Result #1219296
Digital (68, 88, 13124)-net over F16, using (u, u+v)-construction based on
- digital (0, 10, 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 (58, 78, 13107)-net over F16, using
- net defined by OOA [i] based on linear OOA(1678, 13107, F16, 20, 20) (dual of [(13107, 20), 262062, 21]-NRT-code), using
- OA 10-folding and stacking [i] based on linear OA(1678, 131070, F16, 20) (dual of [131070, 130992, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1678, 131072, F16, 20) (dual of [131072, 130994, 21]-code), using
- trace code [i] based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- trace code [i] based on linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(1678, 131072, F16, 20) (dual of [131072, 130994, 21]-code), using
- OA 10-folding and stacking [i] based on linear OA(1678, 131070, F16, 20) (dual of [131070, 130992, 21]-code), using
- net defined by OOA [i] based on linear OOA(1678, 13107, F16, 20, 20) (dual of [(13107, 20), 262062, 21]-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.