Best Known (148, 148+62, s)-Nets in Base 3
(148, 148+62, 252)-Net over F3 — Constructive and digital
Digital (148, 210, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 70, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(148, 148+62, 487)-Net over F3 — Digital
Digital (148, 210, 487)-net over F3, using
(148, 148+62, 10564)-Net in Base 3 — Upper bound on s
There is no (148, 210, 10565)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 15690 135094 931823 645448 699106 322721 015808 331505 433147 164723 412484 099504 733350 983926 355426 834536 780219 > 3210 [i]