Best Known (20−3, 20, s)-Nets in Base 3
(20−3, 20, 3713024)-Net over F3 — Constructive and digital
Digital (17, 20, 3713024)-net over F3, using
- net defined by OOA [i] based on linear OOA(320, 3713024, F3, 3, 3) (dual of [(3713024, 3), 11139052, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(320, 3713024, F3, 2, 3) (dual of [(3713024, 2), 7426028, 4]-NRT-code), using
(20−3, 20, large)-Net in Base 3 — Upper bound on s
There is no (17, 20, large)-net in base 3, because
- 1 times m-reduction [i] would yield (17, 19, large)-net in base 3, but