Information on Result #1185872
Digital (54, 61, 2796200)-net over F4, using net defined by OOA based on linear OOA(461, 2796200, F4, 7, 7) (dual of [(2796200, 7), 19573339, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(461, 8388601, F4, 7) (dual of [8388601, 8388540, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(461, large, F4, 7) (dual of [large, large−61, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(461, large, F4, 7) (dual of [large, large−61, 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 (55, 62, 2796200)-net over F4 | [i] | Net Duplication | |
| 2 | Digital (56, 63, 2796200)-net over F4 | [i] | ||
| 3 | Digital (206, 220, 6391313)-net over F4 | [i] | (u, u+v)-Construction for Nets | |
| 4 | Digital (207, 221, 7589684)-net over F4 | [i] | ||
| 5 | Digital (217, 232, 6391313)-net over F4 | [i] | ||
| 6 | Digital (218, 233, 7589684)-net over F4 | [i] | ||