Information on Result #1842947
(44, 60, 2576)-net in base 27, using (u, u+v)-construction based on
- (6, 14, 116)-net in base 27, using
- 2 times m-reduction [i] based on (6, 16, 116)-net in base 27, using
- base change [i] based on digital (2, 12, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- base change [i] based on digital (2, 12, 116)-net over F81, using
- 2 times m-reduction [i] based on (6, 16, 116)-net in base 27, using
- digital (30, 46, 2460)-net over F27, using
- net defined by OOA [i] based on linear OOA(2746, 2460, F27, 16, 16) (dual of [(2460, 16), 39314, 17]-NRT-code), using
- OA 8-folding and stacking [i] based on linear OA(2746, 19680, F27, 16) (dual of [19680, 19634, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2746, 19683, F27, 16) (dual of [19683, 19637, 17]-code), using
- OA 8-folding and stacking [i] based on linear OA(2746, 19680, F27, 16) (dual of [19680, 19634, 17]-code), using
- net defined by OOA [i] based on linear OOA(2746, 2460, F27, 16, 16) (dual of [(2460, 16), 39314, 17]-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.