Best Known (84−59, 84, s)-Nets in Base 25
(84−59, 84, 200)-Net over F25 — Constructive and digital
Digital (25, 84, 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
(84−59, 84, 4859)-Net in Base 25 — Upper bound on s
There is no (25, 84, 4860)-net in base 25, because
- 1 times m-reduction [i] would yield (25, 83, 4860)-net in base 25, but
- the generalized Rao bound for nets shows that 25m ≥ 107 488380 959534 801466 770095 131004 880181 322020 405510 359830 740847 252444 467444 556912 566052 390198 646401 514629 727449 097761 > 2583 [i]