Best Known (30−24, 30, s)-Nets in Base 25
(30−24, 30, 66)-Net over F25 — Constructive and digital
Digital (6, 30, 66)-net over F25, using
- t-expansion [i] based on digital (4, 30, 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
(30−24, 30, 682)-Net in Base 25 — Upper bound on s
There is no (6, 30, 683)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 872432 632107 903017 198893 839827 962147 684705 > 2530 [i]