Best Known (5, 5+4, s)-Nets in Base 4
(5, 5+4, 171)-Net over F4 — Constructive and digital
Digital (5, 9, 171)-net over F4, using
(5, 5+4, 240)-Net in Base 4 — Upper bound on s
There is no (5, 9, 241)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 263896 > 49 [i]
- extracting embedded orthogonal array [i] would yield OA(49, 241, S4, 4), but
- the linear programming bound shows that M ≥ 2854 667200 / 10873 > 49 [i]