Best Known (102−69, 102, s)-Nets in Base 7
(102−69, 102, 35)-Net over F7 — Constructive and digital
Digital (33, 102, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(102−69, 102, 96)-Net over F7 — Digital
Digital (33, 102, 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
(102−69, 102, 708)-Net in Base 7 — Upper bound on s
There is no (33, 102, 709)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 101, 709)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 22 869044 372482 799730 792572 081474 660618 434123 136851 254791 135453 038454 044114 206180 745945 > 7101 [i]