Best Known (39−34, 39, s)-Nets in Base 81
(39−34, 39, 160)-Net over F81 — Constructive and digital
Digital (5, 39, 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
(39−34, 39, 167)-Net over F81 — Digital
Digital (5, 39, 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
(39−34, 39, 2135)-Net in Base 81 — Upper bound on s
There is no (5, 39, 2136)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 271 014317 663132 374958 205590 408307 145569 759339 185100 722771 529154 324696 511361 > 8139 [i]