Best Known (35, 84, s)-Nets in Base 5
(35, 84, 72)-Net over F5 — Constructive and digital
Digital (35, 84, 72)-net over F5, using
- t-expansion [i] based on digital (31, 84, 72)-net over F5, using
- net from sequence [i] based on digital (31, 71)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- net from sequence [i] based on digital (31, 71)-sequence over F5, using
(35, 84, 76)-Net over F5 — Digital
Digital (35, 84, 76)-net over F5, using
- t-expansion [i] based on digital (34, 84, 76)-net over F5, using
- net from sequence [i] based on digital (34, 75)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 34 and N(F) ≥ 76, using
- net from sequence [i] based on digital (34, 75)-sequence over F5, using
(35, 84, 623)-Net in Base 5 — Upper bound on s
There is no (35, 84, 624)-net in base 5, because
- 1 times m-reduction [i] would yield (35, 83, 624)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 10634 035157 321890 569234 089495 882094 477830 345063 744230 139905 > 583 [i]