Best Known (52−32, 52, s)-Nets in Base 25
(52−32, 52, 148)-Net over F25 — Constructive and digital
Digital (20, 52, 148)-net over F25, using
- t-expansion [i] based on digital (19, 52, 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
(52−32, 52, 171)-Net over F25 — Digital
Digital (20, 52, 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
(52−32, 52, 9891)-Net in Base 25 — Upper bound on s
There is no (20, 52, 9892)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 4 932183 722039 548558 967191 036342 938898 271470 999649 638764 607441 415570 956801 > 2552 [i]