Best Known (56, 98, s)-Nets in Base 3
(56, 98, 72)-Net over F3 — Constructive and digital
Digital (56, 98, 72)-net over F3, using
- trace code for nets [i] based on digital (7, 49, 36)-net over F9, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 7 and N(F) ≥ 36, using
- net from sequence [i] based on digital (7, 35)-sequence over F9, using
(56, 98, 86)-Net over F3 — Digital
Digital (56, 98, 86)-net over F3, using
(56, 98, 710)-Net in Base 3 — Upper bound on s
There is no (56, 98, 711)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 57389 690748 016909 641031 135391 679758 117039 330727 > 398 [i]