Best Known (21, 21+26, s)-Nets in Base 25
(21, 21+26, 148)-Net over F25 — Constructive and digital
Digital (21, 47, 148)-net over F25, using
- t-expansion [i] based on digital (19, 47, 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, 21+26, 186)-Net over F25 — Digital
Digital (21, 47, 186)-net over F25, using
(21, 21+26, 26741)-Net in Base 25 — Upper bound on s
There is no (21, 47, 26742)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 505088 131686 189588 446516 527986 293930 829091 846451 750892 708093 462865 > 2547 [i]