Best Known (35−25, 35, s)-Nets in Base 7
(35−25, 35, 18)-Net over F7 — Constructive and digital
Digital (10, 35, 18)-net over F7, using
- net from sequence [i] based on digital (10, 17)-sequence over F7, using
(35−25, 35, 38)-Net over F7 — Digital
Digital (10, 35, 38)-net over F7, using
- t-expansion [i] based on digital (9, 35, 38)-net over F7, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 9 and N(F) ≥ 38, using
- net from sequence [i] based on digital (9, 37)-sequence over F7, using
(35−25, 35, 211)-Net in Base 7 — Upper bound on s
There is no (10, 35, 212)-net in base 7, because
- 1 times m-reduction [i] would yield (10, 34, 212)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 56582 989352 264462 161738 408129 > 734 [i]