Best Known (216−64, 216, s)-Nets in Base 3
(216−64, 216, 252)-Net over F3 — Constructive and digital
Digital (152, 216, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 72, 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
(216−64, 216, 493)-Net over F3 — Digital
Digital (152, 216, 493)-net over F3, using
(216−64, 216, 10595)-Net in Base 3 — Upper bound on s
There is no (152, 216, 10596)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 442813 449301 048420 445094 029031 872725 785571 451873 473192 020734 618600 713676 278493 505982 476425 356024 392961 > 3216 [i]