Best Known (89−56, 89, s)-Nets in Base 7
(89−56, 89, 35)-Net over F7 — Constructive and digital
Digital (33, 89, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(89−56, 89, 96)-Net over F7 — Digital
Digital (33, 89, 96)-net over F7, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
(89−56, 89, 896)-Net in Base 7 — Upper bound on s
There is no (33, 89, 897)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 1677 149241 642338 506375 676861 233509 523084 568606 713344 900871 093051 584093 473185 > 789 [i]