Best Known (23, 23+82, s)-Nets in Base 25
(23, 23+82, 148)-Net over F25 — Constructive and digital
Digital (23, 105, 148)-net over F25, using
- t-expansion [i] based on digital (19, 105, 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
(23, 23+82, 176)-Net over F25 — Digital
Digital (23, 105, 176)-net over F25, using
- net from sequence [i] based on digital (23, 175)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 23 and N(F) ≥ 176, using
(23, 23+82, 2535)-Net in Base 25 — Upper bound on s
There is no (23, 105, 2536)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 610 712575 145079 912813 727773 624662 147047 613157 868503 430200 303794 999146 403076 912455 944049 383988 296861 218541 648425 172054 913431 769430 137314 497190 770625 > 25105 [i]