Best Known (86−30, 86, s)-Nets in Base 9
(86−30, 86, 448)-Net over F9 — Constructive and digital
Digital (56, 86, 448)-net over F9, using
- trace code for nets [i] based on digital (13, 43, 224)-net over F81, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 13 and N(F) ≥ 224, using
- net from sequence [i] based on digital (13, 223)-sequence over F81, using
(86−30, 86, 1000)-Net over F9 — Digital
Digital (56, 86, 1000)-net over F9, using
(86−30, 86, 237492)-Net in Base 9 — Upper bound on s
There is no (56, 86, 237493)-net in base 9, because
- the generalized Rao bound for nets shows that 9m ≥ 11610 631185 036104 713842 806378 007397 869142 250245 078449 140599 587598 887789 528169 726617 > 986 [i]