Best Known (83, 211, s)-Nets in Base 3
(83, 211, 58)-Net over F3 — Constructive and digital
Digital (83, 211, 58)-net over F3, using
- net from sequence [i] based on digital (83, 57)-sequence over F3, using
- base reduction for sequences [i] based on digital (13, 57)-sequence over F9, using
- s-reduction based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- s-reduction based on digital (13, 63)-sequence over F9, using
- base reduction for sequences [i] based on digital (13, 57)-sequence over F9, using
(83, 211, 84)-Net over F3 — Digital
Digital (83, 211, 84)-net over F3, using
- t-expansion [i] based on digital (71, 211, 84)-net over F3, using
- net from sequence [i] based on digital (71, 83)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 71 and N(F) ≥ 84, using
- net from sequence [i] based on digital (71, 83)-sequence over F3, using
(83, 211, 401)-Net in Base 3 — Upper bound on s
There is no (83, 211, 402)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 50888 829546 827547 105606 752210 267752 073156 790166 845611 510256 362794 293805 943742 886170 666236 221181 622913 > 3211 [i]