Best Known (19, 19+70, s)-Nets in Base 25
(19, 19+70, 148)-Net over F25 — Constructive and digital
Digital (19, 89, 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
(19, 19+70, 162)-Net over F25 — Digital
Digital (19, 89, 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
(19, 19+70, 2060)-Net in Base 25 — Upper bound on s
There is no (19, 89, 2061)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 26372 363926 895901 724917 654430 543407 156053 302835 518532 168203 303199 836411 252256 512492 890229 168186 233580 300083 030666 168258 782953 > 2589 [i]