Best Known (41, 90, s)-Nets in Base 25
(41, 90, 288)-Net over F25 — Constructive and digital
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
(41, 90, 321)-Net over F25 — Digital
Digital (41, 90, 321)-net over F25, using
(41, 90, 62386)-Net in Base 25 — Upper bound on s
There is no (41, 90, 62387)-net in base 25, because
- 1 times m-reduction [i] would yield (41, 89, 62387)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 26104 216854 529551 302669 513375 540482 643940 919953 647854 681348 449136 586817 013702 429066 257177 644576 950716 985916 104625 116394 514625 > 2589 [i]