Information on Result #1203620
Digital (42, 57, 1198371)-net over F128, using net defined by OOA based on linear OOA(12857, 1198371, F128, 15, 15) (dual of [(1198371, 15), 17975508, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(12857, 8388598, F128, 15) (dual of [8388598, 8388541, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 15790321 | 1288−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(12857, large, F128, 15) (dual of [large, large−57, 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 (43, 57, 1198371)-net over F128 | [i] | t-Expansion | |
| 2 | Digital (43, 58, 1198371)-net over F128 | [i] | Net Duplication | |
| 3 | Digital (44, 59, 1198371)-net over F128 | [i] | ||
| 4 | Digital (45, 60, 1198371)-net over F128 | [i] | ||
| 5 | Digital (46, 61, 1198371)-net over F128 | [i] | ||
| 6 | Digital (47, 62, 1198371)-net over F128 | [i] | ||
| 7 | Digital (48, 63, 1198371)-net over F128 | [i] | ||
| 8 | Digital (42, 56, 1198371)-net over F128 | [i] | m-Reduction | |
| 9 | Digital (49, 64, 1198500)-net over F128 | [i] | (u, u+v)-Construction for Nets | |
| 10 | Digital (50, 65, 1198521)-net over F128 | [i] | ||
| 11 | Digital (52, 67, 1198629)-net over F128 | [i] | ||
| 12 | Digital (53, 68, 1198650)-net over F128 | [i] | ||
| 13 | Digital (54, 69, 1198757)-net over F128 | [i] | ||
| 14 | Digital (55, 70, 1203832)-net over F128 | [i] | ||
| 15 | Digital (56, 71, 1203834)-net over F128 | [i] | ||
| 16 | Digital (58, 73, 1214882)-net over F128 | [i] | ||
| 17 | Digital (59, 74, 1214903)-net over F128 | [i] | ||
| 18 | Digital (60, 75, 1214924)-net over F128 | [i] | ||
| 19 | Digital (61, 76, 1897422)-net over F128 | [i] | ||
| 20 | Digital (62, 77, 1897424)-net over F128 | [i] | ||
| 21 | Digital (63, 78, 1897425)-net over F128 | [i] | ||
| 22 | Digital (54, 69, 1198758)-net over F128 | [i] | ||
| 23 | Digital (58, 73, 1214883)-net over F128 | [i] | ||
| 24 | Digital (59, 74, 1214904)-net over F128 | [i] | ||
| 25 | Digital (60, 75, 1214925)-net over F128 | [i] | ||