Best Known (20, 20+74, s)-Nets in Base 25
(20, 20+74, 148)-Net over F25 — Constructive and digital
Digital (20, 94, 148)-net over F25, using
- t-expansion [i] based on digital (19, 94, 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
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(20, 20+74, 171)-Net over F25 — Digital
Digital (20, 94, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(20, 20+74, 2154)-Net in Base 25 — Upper bound on s
There is no (20, 94, 2155)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 257865 858893 286874 811588 816199 795524 055805 773092 133221 143474 523344 842136 044658 415629 300576 914781 431855 598420 868445 418847 975174 826025 > 2594 [i]