Information on Result #1842937
(52, 67, 76002)-net in base 27, using (u, u+v)-construction based on
- (3, 10, 82)-net in base 27, using
- 2 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
- 2 times m-reduction [i] based on (3, 12, 82)-net in base 27, using
- digital (42, 57, 75920)-net over F27, using
- net defined by OOA [i] based on linear OOA(2757, 75920, F27, 15, 15) (dual of [(75920, 15), 1138743, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 531440 = 274−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- OOA 7-folding and stacking with additional row [i] based on linear OA(2757, 531441, F27, 15) (dual of [531441, 531384, 16]-code), using
- net defined by OOA [i] based on linear OOA(2757, 75920, F27, 15, 15) (dual of [(75920, 15), 1138743, 16]-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.