Information on Result #944850
Linear OOA(8116, 538001, F81, 3, 5) (dual of [(538001, 3), 1613987, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(8116, 538002, F81, 2, 5) (dual of [(538002, 2), 1075988, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, s, F81, 2, 0) for arbitrarily large s, using
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code) (see above)
- linear OOA(811, 6642, F81, 2, 1) (dual of [(6642, 2), 13283, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 2, 1) for arbitrarily large s, using
- appending 1 arbitrary column [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, 2, 1) for arbitrarily large s, using
- linear OOA(811, 6642, F81, 2, 1) (dual of [(6642, 2), 13283, 2]-NRT-code) (see above)
- linear OOA(811, 6642, F81, 2, 1) (dual of [(6642, 2), 13283, 2]-NRT-code) (see above)
- linear OOA(813, 6642, F81, 2, 2) (dual of [(6642, 2), 13281, 3]-NRT-code), using
- discarding factors / shortening the dual code 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
- discarding factors / shortening the dual code based on linear OOA(813, 6643, F81, 2, 2) (dual of [(6643, 2), 13283, 3]-NRT-code), using
- linear OOA(8110, 6642, F81, 2, 5) (dual of [(6642, 2), 13274, 6]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(810, s, F81, 2, 0) for arbitrarily large s (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code) (see above)
- linear OOA(811, 82, F81, 2, 1) (dual of [(82, 2), 163, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(811, s, F81, 2, 1) for arbitrarily large s (see above)
- linear OOA(811, 82, F81, 2, 1) (dual of [(82, 2), 163, 2]-NRT-code) (see above)
- linear OOA(811, 82, F81, 2, 1) (dual of [(82, 2), 163, 2]-NRT-code) (see above)
- linear OOA(812, 82, F81, 2, 2) (dual of [(82, 2), 162, 3]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;162,81) [i]
- linear OOA(815, 82, F81, 2, 5) (dual of [(82, 2), 159, 6]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;159,81) [i]
- linear OOA(810, 82, F81, 2, 0) (dual of [(82, 2), 164, 1]-NRT-code), using
- generalized (u, u+v)-construction [i] based on
- linear OOA(810, 6642, F81, 2, 0) (dual of [(6642, 2), 13284, 1]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OOA(8153, 3334202, F81, 3, 10) (dual of [(3334202, 3), 10002553, 11]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
2 | Linear OOA(8157, 3334202, F81, 3, 11) (dual of [(3334202, 3), 10002549, 12]-NRT-code) | [i] |