Best Known (104−71, 104, s)-Nets in Base 7
(104−71, 104, 35)-Net over F7 — Constructive and digital
Digital (33, 104, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(104−71, 104, 96)-Net over F7 — Digital
Digital (33, 104, 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
(104−71, 104, 688)-Net in Base 7 — Upper bound on s
There is no (33, 104, 689)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 103, 689)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1120 389299 942859 237140 321905 015627 255426 725428 075434 693466 742060 330948 506655 002544 332887 > 7103 [i]