Best Known (58, 58+42, s)-Nets in Base 3
(58, 58+42, 80)-Net over F3 — Constructive and digital
Digital (58, 100, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 50, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(58, 58+42, 92)-Net over F3 — Digital
Digital (58, 100, 92)-net over F3, using
(58, 58+42, 791)-Net in Base 3 — Upper bound on s
There is no (58, 100, 792)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 521410 521120 735204 160614 340694 528236 624806 893745 > 3100 [i]