Best Known (33, 33+51, s)-Nets in Base 7
(33, 33+51, 35)-Net over F7 — Constructive and digital
Digital (33, 84, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(33, 33+51, 96)-Net over F7 — Digital
Digital (33, 84, 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+51, 1068)-Net in Base 7 — Upper bound on s
There is no (33, 84, 1069)-net in base 7, because
- 1 times m-reduction [i] would yield (33, 83, 1069)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 14118 028992 088345 915129 932105 738440 339281 975029 261580 022773 406182 617679 > 783 [i]