Information on Result #1730628
Digital (17, 22, 72009)-net over F9, using net defined by OOA based on linear OOA(922, 72009, F9, 6, 5) (dual of [(72009, 6), 432032, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(922, 72010, F9, 2, 5) (dual of [(72010, 2), 143998, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(922, 72010, F9, 5) (dual of [72010, 71988, 6]-code), using
- generalized (u, u+v)-construction [i] based on
- linear OA(90, 7381, F9, 0) (dual of [7381, 7381, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(90, 7381, F9, 0) (dual of [7381, 7381, 1]-code) (see above)
- linear OA(90, 7381, F9, 0) (dual of [7381, 7381, 1]-code) (see above)
- linear OA(90, 7381, F9, 0) (dual of [7381, 7381, 1]-code) (see above)
- linear OA(91, 7381, F9, 1) (dual of [7381, 7380, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(91, 7381, F9, 1) (dual of [7381, 7380, 2]-code) (see above)
- linear OA(91, 7381, F9, 1) (dual of [7381, 7380, 2]-code) (see above)
- linear OA(95, 7381, F9, 2) (dual of [7381, 7376, 3]-code), using
- Hamming code H(5,9) [i]
- linear OA(914, 12962, F9, 5) (dual of [12962, 12948, 6]-code), using
- trace code [i] based on linear OA(817, 6481, F81, 5) (dual of [6481, 6474, 6]-code), using
- linear OA(90, 7381, F9, 0) (dual of [7381, 7381, 1]-code), using
- generalized (u, u+v)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(922, 72010, F9, 5) (dual of [72010, 71988, 6]-code), using
Mode: 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.