Best Known (3, 6, s)-Nets in Base 8
(3, 6, 695)-Net over F8 — Constructive and digital
Digital (3, 6, 695)-net over F8, using
- net defined by OOA [i] based on linear OOA(86, 695, F8, 3, 3) (dual of [(695, 3), 2079, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(86, 695, F8, 2, 3) (dual of [(695, 2), 1384, 4]-NRT-code), using
(3, 6, 3776)-Net over F8 — Upper bound on s (digital)
There is no digital (3, 6, 3777)-net over F8, because
- extracting embedded orthogonal array [i] would yield linear OA(86, 3777, F8, 3) (dual of [3777, 3771, 4]-code or 3777-cap in PG(5,8)), but
(3, 6, 4680)-Net in Base 8 — Upper bound on s
There is no (3, 6, 4681)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(86, 4681, S8, 3), but