Best Known (5, 31, s)-Nets in Base 81
(5, 31, 160)-Net over F81 — Constructive and digital
Digital (5, 31, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
(5, 31, 167)-Net over F81 — Digital
Digital (5, 31, 167)-net over F81, using
- net from sequence [i] based on digital (5, 166)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 167, using
(5, 31, 2513)-Net in Base 81 — Upper bound on s
There is no (5, 31, 2514)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 146033 838377 111158 584220 015143 081132 865434 244397 573061 750561 > 8131 [i]