Best Known (53−46, 53, s)-Nets in Base 25
(53−46, 53, 66)-Net over F25 — Constructive and digital
Digital (7, 53, 66)-net over F25, using
- t-expansion [i] based on digital (4, 53, 66)-net over F25, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- net from sequence [i] based on digital (4, 65)-sequence over F25, using
(53−46, 53, 642)-Net in Base 25 — Upper bound on s
There is no (7, 53, 643)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 127 207712 018162 431040 052311 963550 933322 681622 188707 623848 922602 566691 845625 > 2553 [i]