Best Known (57−32, 57, s)-Nets in Base 7
(57−32, 57, 31)-Net over F7 — Constructive and digital
Digital (25, 57, 31)-net over F7, using
- net from sequence [i] based on digital (25, 30)-sequence over F7, using
(57−32, 57, 72)-Net over F7 — Digital
Digital (25, 57, 72)-net over F7, using
- t-expansion [i] based on digital (22, 57, 72)-net over F7, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 22 and N(F) ≥ 72, using
- net from sequence [i] based on digital (22, 71)-sequence over F7, using
(57−32, 57, 1151)-Net in Base 7 — Upper bound on s
There is no (25, 57, 1152)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 1 492522 794333 625187 610754 296454 708920 739838 803969 > 757 [i]