Information on Result #1204674
Digital (28, 43, 1198371)-net over F256, using net defined by OOA based on linear OOA(25643, 1198371, F256, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(25643, 8388598, F256, 15) (dual of [8388598, 8388555, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-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 (29, 43, 1198371)-net over F256 | [i] | t-Expansion | |
| 2 | Digital (29, 44, 1198371)-net over F256 | [i] | Net Duplication | |
| 3 | Digital (30, 45, 1198371)-net over F256 | [i] | ||
| 4 | Digital (31, 46, 1198371)-net over F256 | [i] | ||
| 5 | Digital (32, 47, 1198371)-net over F256 | [i] | ||
| 6 | Digital (33, 48, 1198371)-net over F256 | [i] | ||
| 7 | Digital (34, 49, 1198371)-net over F256 | [i] | ||
| 8 | Digital (28, 42, 1198371)-net over F256 | [i] | m-Reduction | |
| 9 | Digital (157, 172, 4793484)-net over F4 | [i] | Trace Code for Nets | |
| 10 | Digital (71, 86, 2396742)-net over F16 | [i] | ||
| 11 | Digital (35, 50, 1198628)-net over F256 | [i] | (u, u+v)-Construction for Nets | |
| 12 | Digital (36, 51, 1198629)-net over F256 | [i] | ||
| 13 | Digital (37, 52, 1198630)-net over F256 | [i] | ||
| 14 | Digital (38, 53, 1198885)-net over F256 | [i] | ||
| 15 | Digital (39, 54, 1198886)-net over F256 | [i] | ||
| 16 | Digital (40, 55, 1199142)-net over F256 | [i] | ||
| 17 | Digital (41, 56, 1220216)-net over F256 | [i] | ||
| 18 | Digital (42, 57, 1220218)-net over F256 | [i] | ||
| 19 | Digital (44, 59, 1264163)-net over F256 | [i] | ||
| 20 | Digital (45, 60, 1264164)-net over F256 | [i] | ||
| 21 | Digital (46, 61, 1264165)-net over F256 | [i] | ||
| 22 | Digital (47, 62, 2396742)-net over F256 | [i] | ||
| 23 | Digital (52, 67, 2396999)-net over F256 | [i] | Generalized (u, u+v)-Construction for Nets | |
| 24 | Digital (53, 68, 2397000)-net over F256 | [i] | ||