Information on Result #1842912
(34, 47, 3380)-net in base 27, using (u, u+v)-construction based on
- (4, 10, 100)-net in base 27, using
- 2 times m-reduction [i] based on (4, 12, 100)-net in base 27, using
- base change [i] based on digital (1, 9, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- base change [i] based on digital (1, 9, 100)-net over F81, using
- 2 times m-reduction [i] based on (4, 12, 100)-net in base 27, using
- digital (24, 37, 3280)-net over F27, using
- net defined by OOA [i] based on linear OOA(2737, 3280, F27, 13, 13) (dual of [(3280, 13), 42603, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2737, 19681, F27, 13) (dual of [19681, 19644, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 19682 = 273−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2737, 19683, F27, 13) (dual of [19683, 19646, 14]-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(2737, 19681, F27, 13) (dual of [19681, 19644, 14]-code), using
- net defined by OOA [i] based on linear OOA(2737, 3280, F27, 13, 13) (dual of [(3280, 13), 42603, 14]-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.