Best Known (43, 43+47, s)-Nets in Base 25
(43, 43+47, 288)-Net over F25 — Constructive and digital
Digital (43, 90, 288)-net over F25, using
- t-expansion [i] based on digital (41, 90, 288)-net over F25, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 41 and N(F) ≥ 288, using
- net from sequence [i] based on digital (41, 287)-sequence over F25, using
(43, 43+47, 408)-Net over F25 — Digital
Digital (43, 90, 408)-net over F25, using
(43, 43+47, 100835)-Net in Base 25 — Upper bound on s
There is no (43, 90, 100836)-net in base 25, because
- 1 times m-reduction [i] would yield (43, 89, 100836)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 26104 034605 060141 288130 085548 112238 932033 160036 289519 835404 811408 641323 478136 714018 110003 466657 378741 769488 357792 476098 696225 > 2589 [i]