Best Known (30−23, 30, s)-Nets in Base 7
(30−23, 30, 15)-Net over F7 — Constructive and digital
Digital (7, 30, 15)-net over F7, using
- net from sequence [i] based on digital (7, 14)-sequence over F7, using
(30−23, 30, 32)-Net over F7 — Digital
Digital (7, 30, 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
(30−23, 30, 131)-Net in Base 7 — Upper bound on s
There is no (7, 30, 132)-net in base 7, because
- 1 times m-reduction [i] would yield (7, 29, 132)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 3 327502 347091 503574 324129 > 729 [i]