Information on Result #3176959
Digital (35, 39, large)-net over F27, using 2 times m-reduction based on digital (35, 41, large)-net over F27, using
- generalized (u, u+v)-construction [i] based on
- digital (0, 0, 532899)-net over F27, using
- s-reduction based on digital (0, 0, s)-net over F27 for arbitrarily large s, using
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 0, 532899)-net over F27 (see above)
- digital (0, 1, 532899)-net over F27, using
- s-reduction based on digital (0, 1, s)-net over F27 for arbitrarily large s, using
- digital (0, 1, 532899)-net over F27 (see above)
- digital (0, 1, 532899)-net over F27 (see above)
- digital (3, 5, 532899)-net over F27, using
- s-reduction based on digital (3, 5, 551881)-net over F27, using
- digital (4, 7, 532899)-net over F27, using
- net defined by OOA [i] based on linear OOA(277, 532899, F27, 3, 3) (dual of [(532899, 3), 1598690, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(277, 532899, F27, 2, 3) (dual of [(532899, 2), 1065791, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(277, 532899, F27, 3, 3) (dual of [(532899, 3), 1598690, 4]-NRT-code), using
- digital (20, 26, 2796201)-net over F27, using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(2726, large, F27, 6) (dual of [large, large−26, 7]-code), using
- net defined by OOA [i] based on linear OOA(2726, 2796201, F27, 6, 6) (dual of [(2796201, 6), 16777180, 7]-NRT-code), using
- digital (0, 0, 532899)-net over F27, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (36, 39, large)-net over F27 | [i] | t-Expansion | |