Best Known (3, 3+18, s)-Nets in Base 5
(3, 3+18, 16)-Net over F5 — Constructive and digital
Digital (3, 21, 16)-net over F5, using
- net from sequence [i] based on digital (3, 15)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 3 and N(F) ≥ 16, using
(3, 3+18, 22)-Net in Base 5 — Upper bound on s
There is no (3, 21, 23)-net in base 5, because
- extracting embedded OOA [i] would yield OOA(521, 23, S5, 2, 18), but
- the linear programming bound for OOAs shows that M ≥ 92983 245849 609375 / 137 > 521 [i]