Information on Result #1219513
Digital (100, 124, 87405)-net over F16, using (u, u+v)-construction based on
- digital (1, 13, 24)-net over F16, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
- net from sequence [i] based on digital (1, 23)-sequence over F16, using
- digital (87, 111, 87381)-net over F16, using
- net defined by OOA [i] based on linear OOA(16111, 87381, F16, 24, 24) (dual of [(87381, 24), 2097033, 25]-NRT-code), using
- OA 12-folding and stacking [i] based on linear OA(16111, 1048572, F16, 24) (dual of [1048572, 1048461, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 165−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(16111, 1048576, F16, 24) (dual of [1048576, 1048465, 25]-code), using
- OA 12-folding and stacking [i] based on linear OA(16111, 1048572, F16, 24) (dual of [1048572, 1048461, 25]-code), using
- net defined by OOA [i] based on linear OOA(16111, 87381, F16, 24, 24) (dual of [(87381, 24), 2097033, 25]-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.