Best Known (71, 71+34, s)-Nets in Base 4
(71, 71+34, 240)-Net over F4 — Constructive and digital
Digital (71, 105, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 35, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(71, 71+34, 364)-Net over F4 — Digital
Digital (71, 105, 364)-net over F4, using
(71, 71+34, 12501)-Net in Base 4 — Upper bound on s
There is no (71, 105, 12502)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 1647 051570 180905 790549 946237 780004 042647 332378 089970 075006 023155 > 4105 [i]