Best Known (99−52, 99, s)-Nets in Base 25
(99−52, 99, 288)-Net over F25 — Constructive and digital
Digital (47, 99, 288)-net over F25, using
- t-expansion [i] based on digital (41, 99, 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
(99−52, 99, 425)-Net over F25 — Digital
Digital (47, 99, 425)-net over F25, using
(99−52, 99, 92457)-Net in Base 25 — Upper bound on s
There is no (47, 99, 92458)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 2 489366 506250 106600 684484 549688 477118 902385 029040 180741 257563 772233 279595 251123 536095 449905 035174 581550 339615 503162 835824 084848 295535 588641 > 2599 [i]