Best Known (186−52, 186, s)-Nets in Base 3
(186−52, 186, 282)-Net over F3 — Constructive and digital
Digital (134, 186, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 62, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
(186−52, 186, 527)-Net over F3 — Digital
Digital (134, 186, 527)-net over F3, using
(186−52, 186, 13636)-Net in Base 3 — Upper bound on s
There is no (134, 186, 13637)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 55581 335831 762589 932839 415010 736827 622819 220506 079449 709173 207302 853469 378659 747718 543025 > 3186 [i]