Information on Result #1205194
Digital (67, 74, 5592400)-net over F4, using trace code for nets based on digital (30, 37, 2796200)-net over F16, using
- net defined by OOA [i] based on linear OOA(1637, 2796200, F16, 7, 7) (dual of [(2796200, 7), 19573363, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1637, 8388601, F16, 7) (dual of [8388601, 8388564, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(1637, large, F16, 7) (dual of [large, large−37, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(1637, large, F16, 7) (dual of [large, large−37, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(1637, 8388601, F16, 7) (dual of [8388601, 8388564, 8]-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 (219, 233, 7190226)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (220, 234, large)-net over F4 | [i] | ||
| 3 | Digital (230, 245, 7190226)-net over F4 | [i] | ||
| 4 | Digital (231, 246, large)-net over F4 | [i] | ||
| 5 | Linear OOA(474, 5592400, F4, 3, 7) (dual of [(5592400, 3), 16777126, 8]-NRT-code) | [i] | Extracting Embedded OOA | |