Best Known (27, 27+34, s)-Nets in Base 25
(27, 27+34, 200)-Net over F25 — Constructive and digital
Digital (27, 61, 200)-net over F25, using
- t-expansion [i] based on digital (25, 61, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(27, 27+34, 210)-Net over F25 — Digital
Digital (27, 61, 210)-net over F25, using
(27, 27+34, 31027)-Net in Base 25 — Upper bound on s
There is no (27, 61, 31028)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 18 810857 400642 126110 415129 309133 110105 595808 735115 638030 090416 891397 975273 079475 556065 > 2561 [i]