Information on Result #1227167
Digital (37, 58, 586)-net over F64, using (u, u+v)-construction based on
- digital (7, 17, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- digital (20, 41, 409)-net over F64, using
- net defined by OOA [i] based on linear OOA(6441, 409, F64, 21, 21) (dual of [(409, 21), 8548, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6441, 4091, F64, 21) (dual of [4091, 4050, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(6441, 4096, F64, 21) (dual of [4096, 4055, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(6441, 4091, F64, 21) (dual of [4091, 4050, 22]-code), using
- net defined by OOA [i] based on linear OOA(6441, 409, F64, 21, 21) (dual of [(409, 21), 8548, 22]-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.