Best Known (106−73, 106, s)-Nets in Base 7
(106−73, 106, 35)-Net over F7 — Constructive and digital
Digital (33, 106, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(106−73, 106, 96)-Net over F7 — Digital
Digital (33, 106, 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
(106−73, 106, 670)-Net in Base 7 — Upper bound on s
There is no (33, 106, 671)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 105, 671)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 54635 115074 496706 539794 419395 876890 044020 445911 305664 602582 103745 974588 565526 703243 910441 > 7105 [i]