Information on Result #1726734
Digital (15, 20, 17427)-net over F8, using net defined by OOA based on linear OOA(820, 17427, F8, 6, 5) (dual of [(17427, 6), 104542, 6]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(820, 17428, F8, 2, 5) (dual of [(17428, 2), 34836, 6]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(820, 17428, F8, 5) (dual of [17428, 17408, 6]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- linear OA(81, 4681, F8, 1) (dual of [4681, 4680, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(85, 4681, F8, 2) (dual of [4681, 4676, 3]-code), using
- Hamming code H(5,8) [i]
- linear OA(814, 8066, F8, 5) (dual of [8066, 8052, 6]-code), using
- trace code [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- linear OA(81, 4681, F8, 1) (dual of [4681, 4680, 2]-code), using
- (u, u−v, u+v+w)-construction [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(820, 17428, F8, 5) (dual of [17428, 17408, 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.