Best Known (25, 46, s)-Nets in Base 5
(25, 46, 56)-Net over F5 — Constructive and digital
Digital (25, 46, 56)-net over F5, using
- trace code for nets [i] based on digital (2, 23, 28)-net over F25, using
- net from sequence [i] based on digital (2, 27)-sequence over F25, using
(25, 46, 92)-Net over F5 — Digital
Digital (25, 46, 92)-net over F5, using
- trace code for nets [i] based on digital (2, 23, 46)-net over F25, using
- net from sequence [i] based on digital (2, 45)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 2 and N(F) ≥ 46, using
- net from sequence [i] based on digital (2, 45)-sequence over F25, using
(25, 46, 1575)-Net in Base 5 — Upper bound on s
There is no (25, 46, 1576)-net in base 5, because
- 1 times m-reduction [i] would yield (25, 45, 1576)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 28 550555 945061 003400 173447 576705 > 545 [i]