Best Known (69−50, 69, s)-Nets in Base 25
(69−50, 69, 148)-Net over F25 — Constructive and digital
Digital (19, 69, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
(69−50, 69, 162)-Net over F25 — Digital
Digital (19, 69, 162)-net over F25, using
- net from sequence [i] based on digital (19, 161)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 162, using
(69−50, 69, 3047)-Net in Base 25 — Upper bound on s
There is no (19, 69, 3048)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 2 892818 725240 961179 799343 137780 487952 538230 748520 783448 672749 797935 687490 942120 643939 955269 870529 > 2569 [i]