Best Known (74−36, 74, s)-Nets in Base 8
(74−36, 74, 160)-Net over F8 — Constructive and digital
Digital (38, 74, 160)-net over F8, using
- trace code for nets [i] based on digital (1, 37, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(74−36, 74, 162)-Net over F8 — Digital
Digital (38, 74, 162)-net over F8, using
- trace code for nets [i] based on digital (1, 37, 81)-net over F64, using
- net from sequence [i] based on digital (1, 80)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 81, using
- net from sequence [i] based on digital (1, 80)-sequence over F64, using
(74−36, 74, 5557)-Net in Base 8 — Upper bound on s
There is no (38, 74, 5558)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 6 753115 944749 744953 404432 099860 464570 437646 491422 207674 393989 731806 > 874 [i]