Best Known (184−52, 184, s)-Nets in Base 3
(184−52, 184, 264)-Net over F3 — Constructive and digital
Digital (132, 184, 264)-net over F3, using
- 31 times duplication [i] based on digital (131, 183, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 61, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- trace code for nets [i] based on digital (9, 61, 88)-net over F27, using
(184−52, 184, 503)-Net over F3 — Digital
Digital (132, 184, 503)-net over F3, using
(184−52, 184, 12529)-Net in Base 3 — Upper bound on s
There is no (132, 184, 12530)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 6177 684580 859422 281563 143684 086126 495882 222530 642760 364185 387908 445870 617572 015759 705125 > 3184 [i]