Best Known (99−80, 99, s)-Nets in Base 25
(99−80, 99, 148)-Net over F25 — Constructive and digital
Digital (19, 99, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(99−80, 99, 162)-Net over F25 — Digital
Digital (19, 99, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(99−80, 99, 1873)-Net in Base 25 — Upper bound on s
There is no (19, 99, 1874)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 2 524736 924016 711934 746160 975872 104408 904094 358404 044646 281108 270275 518414 751870 896146 973301 590003 697861 045525 262222 592164 108319 716129 651841 > 2599 [i]