Information on Result #1207894
Digital (99, 109, 1678005)-net over F3, using (u, u+v)-construction based on
- digital (13, 18, 285)-net over F3, using
- net defined by OOA [i] based on linear OOA(318, 285, F3, 5, 5) (dual of [(285, 5), 1407, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(318, 285, F3, 4, 5) (dual of [(285, 4), 1122, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(31, 95, F3, 4, 1) (dual of [(95, 4), 379, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 4, 1) for arbitrarily large s, using
- appending 3 arbitrary columns [i] based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(31, s, F3, 4, 1) for arbitrarily large s, using
- linear OOA(35, 95, F3, 4, 2) (dual of [(95, 4), 375, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 4, 2) (dual of [(121, 4), 479, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- Hamming code H(5,3) [i]
- appending kth column [i] based on linear OA(35, 121, F3, 2) (dual of [121, 116, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(35, 121, F3, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(35, 121, F3, 4, 2) (dual of [(121, 4), 479, 3]-NRT-code), using
- linear OOA(312, 95, F3, 4, 5) (dual of [(95, 4), 368, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 12, 95)-net over F3, using
- linear OOA(31, 95, F3, 4, 1) (dual of [(95, 4), 379, 2]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- appending kth column [i] based on linear OOA(318, 285, F3, 4, 5) (dual of [(285, 4), 1122, 6]-NRT-code), using
- net defined by OOA [i] based on linear OOA(318, 285, F3, 5, 5) (dual of [(285, 5), 1407, 6]-NRT-code), using
- digital (81, 91, 1677720)-net over F3, using
- net defined by OOA [i] based on linear OOA(391, 1677720, F3, 10, 10) (dual of [(1677720, 10), 16777109, 11]-NRT-code), using
- OA 5-folding and stacking [i] based on linear OA(391, 8388600, F3, 10) (dual of [8388600, 8388509, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,9], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(391, large, F3, 10) (dual of [large, large−91, 11]-code), using
- OA 5-folding and stacking [i] based on linear OA(391, 8388600, F3, 10) (dual of [8388600, 8388509, 11]-code), using
- net defined by OOA [i] based on linear OOA(391, 1677720, F3, 10, 10) (dual of [(1677720, 10), 16777109, 11]-NRT-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
None.