Best Known (21, 75, s)-Nets in Base 25
(21, 75, 148)-Net over F25 — Constructive and digital
Digital (21, 75, 148)-net over F25, using
- t-expansion [i] based on digital (19, 75, 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
(21, 75, 171)-Net over F25 — Digital
Digital (21, 75, 171)-net over F25, using
- t-expansion [i] based on digital (20, 75, 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
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
(21, 75, 3464)-Net in Base 25 — Upper bound on s
There is no (21, 75, 3465)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 705 289649 298149 693214 788036 776719 011091 922867 805095 758789 390428 015781 249759 752565 017647 614045 378969 394057 > 2575 [i]