Best Known (12−3, 12, s)-Nets in Base 9
(12−3, 12, 5580100)-Net over F9 — Constructive and digital
Digital (9, 12, 5580100)-net over F9, using
- net defined by OOA [i] based on linear OOA(912, 5580100, F9, 3, 3) (dual of [(5580100, 3), 16740288, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(912, 5580100, F9, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(912, 5580100, F9, 3) (dual of [5580100, 5580088, 4]-code or 5580100-cap in PG(11,9)), using
- appending kth column [i] based on linear OOA(912, 5580100, F9, 2, 3) (dual of [(5580100, 2), 11160188, 4]-NRT-code), using
(12−3, 12, large)-Net in Base 9 — Upper bound on s
There is no (9, 12, large)-net in base 9, because
- 1 times m-reduction [i] would yield (9, 11, large)-net in base 9, but