Information on Result #1842964
(43, 60, 2542)-net in base 27, using (u, u+v)-construction based on
- (3, 11, 82)-net in base 27, using
- 1 times m-reduction [i] based on (3, 12, 82)-net in base 27, using
- base change [i] based on digital (0, 9, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base change [i] based on digital (0, 9, 82)-net over F81, using
- 1 times m-reduction [i] based on (3, 12, 82)-net in base 27, using
- digital (32, 49, 2460)-net over F27, using
- net defined by OOA [i] based on linear OOA(2749, 2460, F27, 17, 17) (dual of [(2460, 17), 41771, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2749, 19681, F27, 17) (dual of [19681, 19632, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(2749, 19683, F27, 17) (dual of [19683, 19634, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(2749, 19681, F27, 17) (dual of [19681, 19632, 18]-code), using
- net defined by OOA [i] based on linear OOA(2749, 2460, F27, 17, 17) (dual of [(2460, 17), 41771, 18]-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.