Best Known (30, 30+39, s)-Nets in Base 25
(30, 30+39, 204)-Net over F25 — Constructive and digital
Digital (30, 69, 204)-net over F25, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 30 and N(F) ≥ 204, using
(30, 30+39, 212)-Net over F25 — Digital
Digital (30, 69, 212)-net over F25, using
(30, 30+39, 33268)-Net in Base 25 — Upper bound on s
There is no (30, 69, 33269)-net in base 25, because
- 1 times m-reduction [i] would yield (30, 68, 33269)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 114842 393123 068742 563813 133236 286977 102343 363079 745789 991759 243715 373855 653843 898990 115676 301225 > 2568 [i]