Best Known (139, 139+62, s)-Nets in Base 3
(139, 139+62, 204)-Net over F3 — Constructive and digital
Digital (139, 201, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 67, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
(139, 139+62, 408)-Net over F3 — Digital
Digital (139, 201, 408)-net over F3, using
(139, 139+62, 7671)-Net in Base 3 — Upper bound on s
There is no (139, 201, 7672)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 798735 511343 702657 919011 731143 106551 380954 726850 499527 266976 971096 155666 877706 789055 210774 469025 > 3201 [i]