Best Known (33, 33+18, s)-Nets in Base 81
(33, 33+18, 1054)-Net over F81 — Constructive and digital
Digital (33, 51, 1054)-net over F81, using
- net defined by OOA [i] based on linear OOA(8151, 1054, F81, 18, 18) (dual of [(1054, 18), 18921, 19]-NRT-code), using
- OA 9-folding and stacking [i] based on linear OA(8151, 9486, F81, 18) (dual of [9486, 9435, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(8151, 9490, F81, 18) (dual of [9490, 9439, 19]-code), using
- OA 9-folding and stacking [i] based on linear OA(8151, 9486, F81, 18) (dual of [9486, 9435, 19]-code), using
(33, 33+18, 47686)-Net over F81 — Digital
Digital (33, 51, 47686)-net over F81, using
(33, 33+18, large)-Net in Base 81 — Upper bound on s
There is no (33, 51, large)-net in base 81, because
- 16 times m-reduction [i] would yield (33, 35, large)-net in base 81, but