Best Known (34, 81, s)-Nets in Base 7
(34, 81, 35)-Net over F7 — Constructive and digital
Digital (34, 81, 35)-net over F7, using
- t-expansion [i] based on digital (33, 81, 35)-net over F7, using
- net from sequence [i] based on digital (33, 34)-sequence over F7, using
(34, 81, 96)-Net over F7 — Digital
Digital (34, 81, 96)-net over F7, using
- t-expansion [i] based on digital (33, 81, 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
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
(34, 81, 1352)-Net in Base 7 — Upper bound on s
There is no (34, 81, 1353)-net in base 7, because
- 1 times m-reduction [i] would yield (34, 80, 1353)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 41 055297 109122 480930 361175 033411 272321 720851 002937 973769 658276 799543 > 780 [i]