Information on Result #1213343
Digital (94, 104, 3355534)-net over F5, using (u, u+v)-construction based on
- digital (7, 12, 94)-net over F5, using
- net defined by OOA [i] based on linear OOA(512, 94, F5, 6, 5) (dual of [(94, 6), 552, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(512, 95, F5, 2, 5) (dual of [(95, 2), 178, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(51, 31, F5, 2, 1) (dual of [(31, 2), 61, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [i] based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 2, 1) for arbitrarily large s, using
- linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- Hamming code H(3,5) [i]
- appending kth column [i] based on linear OA(53, 31, F5, 2) (dual of [31, 28, 3]-code), using
- linear OOA(58, 33, F5, 2, 5) (dual of [(33, 2), 58, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 8, 33)-net over F5, using
- linear OOA(51, 31, F5, 2, 1) (dual of [(31, 2), 61, 2]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(512, 95, F5, 2, 5) (dual of [(95, 2), 178, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(512, 94, F5, 6, 5) (dual of [(94, 6), 552, 6]-NRT-code), using
- digital (82, 92, 3355440)-net over F5, using
- trace code for nets [i] based on digital (36, 46, 1677720)-net over F25, using
- net defined by OOA [i] based on linear OOA(2546, 1677720, F25, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(2546, 8388600, F25, 10) (dual of [8388600, 8388554, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(2546, large, F25, 10) (dual of [large, large−46, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(2546, 8388600, F25, 10) (dual of [8388600, 8388554, 11]-code), using
- net defined by OOA [i] based on linear OOA(2546, 1677720, F25, 10, 10) (dual of [(1677720, 10), 16777154, 11]-NRT-code), using
- trace code for nets [i] based on digital (36, 46, 1677720)-net over F25, 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 (134, 144, 6711068)-net over F5 | [i] | (u, u+v)-Construction for Nets | |