Best Known (38−20, 38, s)-Nets in Base 5
(38−20, 38, 43)-Net over F5 — Constructive and digital
Digital (18, 38, 43)-net over F5, using
- net from sequence [i] based on digital (18, 42)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 17, N(F) = 42, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
(38−20, 38, 44)-Net over F5 — Digital
Digital (18, 38, 44)-net over F5, using
(38−20, 38, 505)-Net in Base 5 — Upper bound on s
There is no (18, 38, 506)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 364 512269 880393 363695 599425 > 538 [i]