Best Known (53−36, 53, s)-Nets in Base 5
(53−36, 53, 42)-Net over F5 — Constructive and digital
Digital (17, 53, 42)-net over F5, using
- net from sequence [i] based on digital (17, 41)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using
(53−36, 53, 203)-Net in Base 5 — Upper bound on s
There is no (17, 53, 204)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 11 942684 372193 131313 114006 987976 285505 > 553 [i]