Best Known (4, 4+3, s)-Nets in Base 3
(4, 4+3, 112)-Net over F3 — Constructive and digital
Digital (4, 7, 112)-net over F3, using
- net defined by OOA [i] based on linear OOA(37, 112, F3, 3, 3) (dual of [(112, 3), 329, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(37, 112, F3, 2, 3) (dual of [(112, 2), 217, 4]-NRT-code), using
(4, 4+3, 136)-Net over F3 — Upper bound on s (digital)
There is no digital (4, 7, 137)-net over F3, because
(4, 4+3, 363)-Net in Base 3 — Upper bound on s
There is no (4, 7, 364)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(37, 364, S3, 3), but