Information on Result #1196308
Digital (55, 68, 1398109)-net over F25, using net defined by OOA based on linear OOA(2568, 1398109, F25, 14, 13) (dual of [(1398109, 14), 19573458, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2568, 4194328, F25, 2, 13) (dual of [(4194328, 2), 8388588, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(257, 27, F25, 2, 6) (dual of [(27, 2), 47, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- extracting embedded OOA [i] based on digital (1, 7, 27)-net over F25, using
- linear OOA(2561, 4194301, F25, 2, 13) (dual of [(4194301, 2), 8388541, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2561, 8388602, F25, 13) (dual of [8388602, 8388541, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2561, large, F25, 13) (dual of [large, large−61, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2561, large, F25, 13) (dual of [large, large−61, 14]-code), using
- OOA 2-folding [i] based on linear OA(2561, 8388602, F25, 13) (dual of [8388602, 8388541, 14]-code), using
- linear OOA(257, 27, F25, 2, 6) (dual of [(27, 2), 47, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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 (123, 136, 2796218)-net over F5 | [i] | Trace Code for Nets | |