Information on Result #1209907
Digital (52, 58, 2798311)-net over F4, using (u, u+v)-construction based on
- digital (6, 9, 2110)-net over F4, using
- net defined by OOA [i] based on linear OOA(49, 2110, F4, 3, 3) (dual of [(2110, 3), 6321, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(49, 2110, F4, 2, 3) (dual of [(2110, 2), 4211, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(49, 2110, F4, 3, 3) (dual of [(2110, 3), 6321, 4]-NRT-code), using
- digital (43, 49, 2796201)-net over F4, using
- net defined by OOA [i] based on linear OOA(449, 2796201, F4, 6, 6) (dual of [(2796201, 6), 16777157, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
- net defined by OOA [i] based on linear OOA(449, 2796201, F4, 6, 6) (dual of [(2796201, 6), 16777157, 7]-NRT-code), using
Mode: Constructive and linear.
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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (181, 193, 6992612)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (192, 205, 6992612)-net over F4 | [i] | ||