Best Known (171−50, 171, s)-Nets in Base 3
(171−50, 171, 246)-Net over F3 — Constructive and digital
Digital (121, 171, 246)-net over F3, using
- trace code for nets [i] based on digital (7, 57, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
(171−50, 171, 422)-Net over F3 — Digital
Digital (121, 171, 422)-net over F3, using
(171−50, 171, 9310)-Net in Base 3 — Upper bound on s
There is no (121, 171, 9311)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3877 149710 822159 052020 644756 067551 298140 138187 621775 694072 835667 310229 680549 571727 > 3171 [i]