Best Known (33, 88, s)-Nets in Base 7
(33, 88, 35)-Net over F7 — Constructive and digital
Digital (33, 88, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(33, 88, 96)-Net over F7 — Digital
Digital (33, 88, 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
(33, 88, 944)-Net in Base 7 — Upper bound on s
There is no (33, 88, 945)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 87, 945)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 33 395096 718741 366642 526032 670184 634987 521307 522030 054849 174941 389916 139799 > 787 [i]