Information on Result #1234475
Digital (26, 33, large)-net over F81, using generalized (u, u+v)-construction based on
- digital (0, 0, 177147)-net over F81, using
- s-reduction based on digital (0, 0, s)-net over F81 for arbitrarily large s, using
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 0, 177147)-net over F81 (see above)
- digital (0, 1, 177147)-net over F81, using
- s-reduction based on digital (0, 1, s)-net over F81 for arbitrarily large s, using
- digital (0, 1, 177147)-net over F81 (see above)
- digital (0, 1, 177147)-net over F81 (see above)
- digital (0, 1, 177147)-net over F81 (see above)
- digital (2, 4, 177147)-net over F81, using
- s-reduction based on digital (2, 4, 538084)-net over F81, using
- digital (3, 6, 177147)-net over F81, using
- s-reduction based on digital (3, 6, 538248)-net over F81, using
- net defined by OOA [i] based on linear OOA(816, 538248, F81, 3, 3) (dual of [(538248, 3), 1614738, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(816, 538248, F81, 2, 3) (dual of [(538248, 2), 1076490, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(816, 538248, F81, 3, 3) (dual of [(538248, 3), 1614738, 4]-NRT-code), using
- s-reduction based on digital (3, 6, 538248)-net over F81, using
- digital (12, 19, 177147)-net over F81, using
- net defined by OOA [i] based on linear OOA(8119, 177147, F81, 7, 7) (dual of [(177147, 7), 1240010, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(8119, 531442, F81, 7) (dual of [531442, 531423, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- OOA 3-folding and stacking with additional row [i] based on linear OA(8119, 531442, F81, 7) (dual of [531442, 531423, 8]-code), using
- net defined by OOA [i] based on linear OOA(8119, 177147, F81, 7, 7) (dual of [(177147, 7), 1240010, 8]-NRT-code), 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 (27, 33, large)-net over F81 | [i] | t-Expansion | |
| 2 | Digital (28, 33, large)-net over F81 | [i] | ||
| 3 | Digital (27, 34, large)-net over F81 | [i] | Net Duplication | |
| 4 | Digital (28, 35, large)-net over F81 | [i] | ||
| 5 | (37, 44, large)-net in base 27 | [i] | Base Change | |