Best Known (4, 23, s)-Nets in Base 7
(4, 23, 12)-Net over F7 — Constructive and digital
Digital (4, 23, 12)-net over F7, using
- net from sequence [i] based on digital (4, 11)-sequence over F7, using
(4, 23, 24)-Net over F7 — Digital
Digital (4, 23, 24)-net over F7, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 4 and N(F) ≥ 24, using
(4, 23, 75)-Net in Base 7 — Upper bound on s
There is no (4, 23, 76)-net in base 7, because
- 1 times m-reduction [i] would yield (4, 22, 76)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 4 345824 538625 629897 > 722 [i]