Information on Result #3221033
Digital (225, 253, 599185)-net over F4, using t-expansion based on digital (224, 253, 599185)-net over F4, using
- net defined by OOA [i] based on linear OOA(4253, 599185, F4, 29, 29) (dual of [(599185, 29), 17376112, 30]-NRT-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4253, 8388591, F4, 29) (dual of [8388591, 8388338, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
- discarding factors / shortening the dual code based on linear OA(4253, large, F4, 29) (dual of [large, large−253, 30]-code), using
- OOA 14-folding and stacking with additional row [i] based on linear OA(4253, 8388591, F4, 29) (dual of [8388591, 8388338, 30]-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 (226, 254, 599185)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (227, 255, 599185)-net over F4 | [i] | ||