Best Known (12, 12+28, s)-Nets in Base 5
(12, 12+28, 33)-Net over F5 — Constructive and digital
Digital (12, 40, 33)-net over F5, using
- net from sequence [i] based on digital (12, 32)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 11, N(F) = 32, and 1 place with degree 2 [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
(12, 12+28, 140)-Net in Base 5 — Upper bound on s
There is no (12, 40, 141)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 9652 116895 897026 958431 125865 > 540 [i]