Best Known (47−30, 47, s)-Nets in Base 5
(47−30, 47, 42)-Net over F5 — Constructive and digital
Digital (17, 47, 42)-net over F5, using
- net from sequence [i] based on digital (17, 41)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using
(47−30, 47, 238)-Net in Base 5 — Upper bound on s
There is no (17, 47, 239)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 745 869415 889044 294259 208900 055685 > 547 [i]