Best Known (2, 5, s)-Nets in Base 3
(2, 5, 20)-Net over F3 — Constructive and digital
Digital (2, 5, 20)-net over F3, using
- net defined by OOA [i] based on linear OOA(35, 20, F3, 3, 3) (dual of [(20, 3), 55, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(35, 20, F3, 2, 3) (dual of [(20, 2), 35, 4]-NRT-code), using
(2, 5, 20)-Net over F3 — Upper bound on s (digital)
There is no digital (2, 5, 21)-net over F3, because
(2, 5, 39)-Net in Base 3 — Upper bound on s
There is no (2, 5, 40)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(35, 40, S3, 3), but