Information on Result #1179694
Digital (11, 16, 538002)-net over F81, using net defined by OOA based on linear OOA(8116, 538002, F81, 5, 5) (dual of [(538002, 5), 2689994, 6]-NRT-code), using
- appending kth column [i] based on linear OOA(8116, 538002, F81, 4, 5) (dual of [(538002, 4), 2151992, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, s, F81, 4, 0) for arbitrarily large s, using
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code) (see above)
- linear OOA(811, 6642, F81, 4, 1) (dual of [(6642, 4), 26567, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 4, 1) for arbitrarily large s, using
- appending 3 arbitrary columns [i] based on linear OA(811, s, F81, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 4, 1) for arbitrarily large s, using
- linear OOA(811, 6642, F81, 4, 1) (dual of [(6642, 4), 26567, 2]-NRT-code) (see above)
- linear OOA(811, 6642, F81, 4, 1) (dual of [(6642, 4), 26567, 2]-NRT-code) (see above)
- linear OOA(813, 6642, F81, 4, 2) (dual of [(6642, 4), 26565, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 4, 2) (dual of [(6643, 4), 26569, 3]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- appending kth column [i] based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- Hamming code H(3,81) [i]
- appending kth column [i] based on linear OA(813, 6643, F81, 2) (dual of [6643, 6640, 3]-code), using
- appending 2 arbitrary columns [i] based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 4, 2) (dual of [(6643, 4), 26569, 3]-NRT-code), using
- linear OOA(8110, 6642, F81, 4, 5) (dual of [(6642, 4), 26558, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, s, F81, 4, 0) for arbitrarily large s (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code) (see above)
- linear OOA(811, 82, F81, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 4, 1) for arbitrarily large s (see above)
- linear OOA(811, 82, F81, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
- linear OOA(811, 82, F81, 4, 1) (dual of [(82, 4), 327, 2]-NRT-code) (see above)
- linear OOA(812, 82, F81, 4, 2) (dual of [(82, 4), 326, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;326,81) [i]
- linear OOA(815, 82, F81, 4, 5) (dual of [(82, 4), 323, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;323,81) [i]
- linear OOA(810, 82, F81, 4, 0) (dual of [(82, 4), 328, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 6642, F81, 4, 0) (dual of [(6642, 4), 26568, 1]-NRT-code), using
- generalized (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 (43, 53, 2215722)-net over F81 | [i] | (u, u+v)-Construction for Nets | |
2 | Digital (46, 57, 2215722)-net over F81 | [i] |