Information on Result #1229354
Digital (43, 48, large)-net over F4, using generalized (u, u+v)-construction based on
- digital (0, 1, 2097151)-net over F4, using
- s-reduction based on digital (0, 1, s)-net over F4 for arbitrarily large s, using
- digital (0, 1, 2097151)-net over F4 (see above)
- digital (10, 12, 2097151)-net over F4, using
- s-reduction based on digital (10, 12, 5592405)-net over F4, using
- digital (29, 34, 2097151)-net over F4, using
- net defined by OOA [i] based on linear OOA(434, 2097151, F4, 5, 5) (dual of [(2097151, 5), 10485721, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(434, 4194303, F4, 5) (dual of [4194303, 4194269, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4194303 = 411−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(434, 4194304, F4, 5) (dual of [4194304, 4194270, 6]-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(434, 4194303, F4, 5) (dual of [4194303, 4194269, 6]-code), using
- net defined by OOA [i] based on linear OOA(434, 2097151, F4, 5, 5) (dual of [(2097151, 5), 10485721, 6]-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 (44, 48, large)-net over F4 | [i] | t-Expansion | |
| 2 | Digital (44, 49, large)-net over F4 | [i] | Net Duplication | |
| 3 | Digital (43, 47, large)-net over F4 | [i] | m-Reduction | |
| 4 | Digital (43, 46, large)-net over F4 | [i] | ||