Best Known (19, 19+48, s)-Nets in Base 25
(19, 19+48, 148)-Net over F25 — Constructive and digital
Digital (19, 67, 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+48, 162)-Net over F25 — Digital
Digital (19, 67, 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+48, 3251)-Net in Base 25 — Upper bound on s
There is no (19, 67, 3252)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4612 423338 398576 814615 648207 887697 918742 149639 886993 117524 890576 945835 228246 517523 172872 826625 > 2567 [i]