Best Known (61, 87, s)-Nets in Base 3
(61, 87, 156)-Net over F3 — Constructive and digital
Digital (61, 87, 156)-net over F3, using
- trace code for nets [i] based on digital (3, 29, 52)-net over F27, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
(61, 87, 233)-Net over F3 — Digital
Digital (61, 87, 233)-net over F3, using
(61, 87, 4407)-Net in Base 3 — Upper bound on s
There is no (61, 87, 4408)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 323756 774250 490757 324404 348944 862010 637681 > 387 [i]