Information on Result #1204638
Digital (26, 40, 1198371)-net over F256, using net defined by OOA based on linear OOA(25640, 1198371, F256, 14, 14) (dual of [(1198371, 14), 16777154, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(25640, 8388597, F256, 14) (dual of [8388597, 8388557, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-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 (27, 41, 1198371)-net over F256 | [i] | Net Duplication | |
2 | Digital (146, 160, 4793484)-net over F4 | [i] | Trace Code for Nets | |
3 | Digital (66, 80, 2396742)-net over F16 | [i] | ||
4 | Digital (33, 47, 1198628)-net over F256 | [i] | (u, u+v)-Construction for Nets | |
5 | Digital (34, 48, 1198629)-net over F256 | [i] | ||
6 | Digital (35, 49, 1198630)-net over F256 | [i] | ||
7 | Digital (36, 50, 1198885)-net over F256 | [i] | ||
8 | Digital (37, 51, 1198886)-net over F256 | [i] | ||
9 | Digital (38, 52, 1199142)-net over F256 | [i] | ||
10 | Digital (39, 53, 1220216)-net over F256 | [i] | ||
11 | Digital (40, 54, 1220218)-net over F256 | [i] | ||
12 | Digital (42, 56, 1264163)-net over F256 | [i] | ||
13 | Digital (43, 57, 1264164)-net over F256 | [i] | ||
14 | Digital (44, 58, 1264165)-net over F256 | [i] | ||
15 | Digital (45, 59, 2396742)-net over F256 | [i] | ||
16 | Digital (54, 68, 2397513)-net over F256 | [i] | Generalized (u, u+v)-Construction for Nets | |
17 | Digital (54, 68, 2429639)-net over F256 | [i] | ||
18 | Digital (49, 63, 2396999)-net over F256 | [i] | ||
19 | Digital (50, 64, 2397000)-net over F256 | [i] | ||
20 | Digital (51, 65, 2429382)-net over F256 | [i] | ||
21 | Digital (52, 66, 2429511)-net over F256 | [i] | ||
22 | Digital (53, 67, 2462534)-net over F256 | [i] | ||
23 | Digital (54, 68, 2462535)-net over F256 | [i] | ||
24 | (50, 64, 1198371)-net in base 32 | [i] | Base Change |