Best Known (3, 3+4, s)-Nets in Base 4
(3, 3+4, 43)-Net over F4 — Constructive and digital
Digital (3, 7, 43)-net over F4, using
(3, 3+4, 59)-Net in Base 4 — Upper bound on s
There is no (3, 7, 60)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 16831 > 47 [i]
- extracting embedded orthogonal array [i] would yield OA(47, 60, S4, 4), but
- the linear programming bound shows that M ≥ 14 400512 / 857 > 47 [i]