Best Known (27, 27+80, s)-Nets in Base 25
(27, 27+80, 200)-Net over F25 — Constructive and digital
Digital (27, 107, 200)-net over F25, using
- t-expansion [i] based on digital (25, 107, 200)-net over F25, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 25 and N(F) ≥ 200, using
- net from sequence [i] based on digital (25, 199)-sequence over F25, using
(27, 27+80, 3585)-Net in Base 25 — Upper bound on s
There is no (27, 107, 3586)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 383106 025900 997799 974778 675718 583800 566744 739197 533052 885744 245151 822844 253140 353188 865121 796922 154153 656296 282577 792157 635716 752048 705307 077129 517185 > 25107 [i]