Best Known (47, 104, s)-Nets in Base 25
(47, 104, 288)-Net over F25 — Constructive and digital
Digital (47, 104, 288)-net over F25, using
- t-expansion [i] based on digital (41, 104, 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
(47, 104, 347)-Net over F25 — Digital
Digital (47, 104, 347)-net over F25, using
(47, 104, 65330)-Net in Base 25 — Upper bound on s
There is no (47, 104, 65331)-net in base 25, because
- 1 times m-reduction [i] would yield (47, 103, 65331)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 972397 898792 558346 996206 776137 684453 715988 542014 051846 210071 371497 523191 620531 821448 092994 180659 067883 155924 044827 276345 686843 891565 521653 012705 > 25103 [i]