Best Known (20−13, 20, s)-Nets in Base 7
(20−13, 20, 20)-Net over F7 — Constructive and digital
Digital (7, 20, 20)-net over F7, using
- t-expansion [i] based on digital (6, 20, 20)-net over F7, using
(20−13, 20, 32)-Net over F7 — Digital
Digital (7, 20, 32)-net over F7, using
- net from sequence [i] based on digital (7, 31)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 7 and N(F) ≥ 32, using
(20−13, 20, 233)-Net in Base 7 — Upper bound on s
There is no (7, 20, 234)-net in base 7, because
- 1 times m-reduction [i] would yield (7, 19, 234)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 11623 998787 279165 > 719 [i]