Best Known (58−28, 58, s)-Nets in Base 9
(58−28, 58, 200)-Net over F9 — Constructive and digital
Digital (30, 58, 200)-net over F9, using
- trace code for nets [i] based on digital (1, 29, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(58−28, 58, 6778)-Net in Base 9 — Upper bound on s
There is no (30, 58, 6779)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 22 210715 659301 006476 176739 315915 103890 673736 620370 225489 > 958 [i]