Information on Result #1179094
Digital (6, 10, 4194301)-net over F256, using net defined by OOA based on linear OOA(25610, 4194301, F256, 4, 4) (dual of [(4194301, 4), 16777194, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(25610, 8388602, F256, 4) (dual of [8388602, 8388592, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-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 (16, 20, 8388602)-net over F16 | [i] | Trace Code for Nets | |
| 2 | Digital (33, 41, large)-net over F256 | [i] | (u, u+v)-Construction for Nets | |
| 3 | Digital (36, 45, large)-net over F256 | [i] | ||
| 4 | Digital (53, 66, 4194557)-net over F256 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 5 | Digital (54, 67, 4259837)-net over F256 | [i] | ||
| 6 | Digital (55, 68, 4325637)-net over F256 | [i] | ||
| 7 | Digital (51, 63, 4194557)-net over F256 | [i] | ||
| 8 | Digital (52, 64, 4259837)-net over F256 | [i] | ||
| 9 | Digital (53, 65, 4325637)-net over F256 | [i] | ||
| 10 | Digital (31, 40, 4325637)-net over F256 | [i] | ||