Best Known (33, 33+61, s)-Nets in Base 7
(33, 33+61, 35)-Net over F7 — Constructive and digital
Digital (33, 94, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(33, 33+61, 96)-Net over F7 — Digital
Digital (33, 94, 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, 33+61, 817)-Net in Base 7 — Upper bound on s
There is no (33, 94, 818)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 93, 818)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 4 056740 654216 862138 681971 907061 510055 222598 500598 328340 176273 713193 060550 062045 > 793 [i]