Best Known (3, 6, s)-Nets in Base 25
(3, 6, 16328)-Net over F25 — Constructive and digital
Digital (3, 6, 16328)-net over F25, using
- net defined by OOA [i] based on linear OOA(256, 16328, F25, 3, 3) (dual of [(16328, 3), 48978, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(256, 16328, F25, 2, 3) (dual of [(16328, 2), 32650, 4]-NRT-code), using
(3, 6, 376899)-Net over F25 — Upper bound on s (digital)
There is no digital (3, 6, 376900)-net over F25, because
- extracting embedded orthogonal array [i] would yield linear OA(256, 376900, F25, 3) (dual of [376900, 376894, 4]-code or 376900-cap in PG(5,25)), but
(3, 6, 406900)-Net in Base 25 — Upper bound on s
There is no (3, 6, 406901)-net in base 25, because
- extracting embedded orthogonal array [i] would yield OA(256, 406901, S25, 3), but