Best Known (55−32, 55, s)-Nets in Base 7
(55−32, 55, 30)-Net over F7 — Constructive and digital
Digital (23, 55, 30)-net over F7, using
- net from sequence [i] based on digital (23, 29)-sequence over F7, using
(55−32, 55, 72)-Net over F7 — Digital
Digital (23, 55, 72)-net over F7, using
- t-expansion [i] based on digital (22, 55, 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
(55−32, 55, 900)-Net in Base 7 — Upper bound on s
There is no (23, 55, 901)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 30414 639426 770950 358741 597112 592733 705528 597761 > 755 [i]