Information on Result #1843022
(59, 80, 2118)-net in base 27, using (u, u+v)-construction based on
- (9, 19, 150)-net in base 27, using
- 1 times m-reduction [i] based on (9, 20, 150)-net in base 27, using
- base change [i] based on digital (4, 15, 150)-net over F81, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- net from sequence [i] based on digital (4, 149)-sequence over F81, using
- base change [i] based on digital (4, 15, 150)-net over F81, using
- 1 times m-reduction [i] based on (9, 20, 150)-net in base 27, using
- digital (40, 61, 1968)-net over F27, using
- net defined by OOA [i] based on linear OOA(2761, 1968, F27, 21, 21) (dual of [(1968, 21), 41267, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2761, 19681, F27, 21) (dual of [19681, 19620, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using
- an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2761, 19683, F27, 21) (dual of [19683, 19622, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2761, 19681, F27, 21) (dual of [19681, 19620, 22]-code), using
- net defined by OOA [i] based on linear OOA(2761, 1968, F27, 21, 21) (dual of [(1968, 21), 41267, 22]-NRT-code), using
Mode: Constructive.
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.