Information on Result #1213587
Digital (41, 55, 256)-net over F5, using (u, u+v)-construction based on
- digital (12, 19, 124)-net over F5, using
- net defined by OOA [i] based on linear OOA(519, 124, F5, 9, 7) (dual of [(124, 9), 1097, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(51, s, F5, 3, 1) for arbitrarily large s, using
- appending 2 arbitrary columns [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, 3, 1) for arbitrarily large s, using
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code) (see above)
- linear OOA(53, 25, F5, 3, 2) (dual of [(25, 3), 72, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- appending 1 arbitrary column [i] based on 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
- appending 1 arbitrary column [i] based on linear OOA(53, 31, F5, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(53, 31, F5, 3, 2) (dual of [(31, 3), 90, 3]-NRT-code), using
- linear OOA(54, 25, F5, 3, 3) (dual of [(25, 3), 71, 4]-NRT-code), using
- linear OOA(510, 25, F5, 3, 7) (dual of [(25, 3), 65, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 25)-net over F5, using
- linear OOA(51, 25, F5, 3, 1) (dual of [(25, 3), 74, 2]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- OOA stacking with additional row [i] based on linear OOA(519, 125, F5, 3, 7) (dual of [(125, 3), 356, 8]-NRT-code), using
- net defined by OOA [i] based on linear OOA(519, 124, F5, 9, 7) (dual of [(124, 9), 1097, 8]-NRT-code), using
- digital (22, 36, 132)-net over F5, using
- trace code for nets [i] based on digital (4, 18, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- trace code for nets [i] based on digital (4, 18, 66)-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
None.