Best Known (82−32, 82, s)-Nets in Base 5
(82−32, 82, 208)-Net over F5 — Constructive and digital
Digital (50, 82, 208)-net over F5, using
- trace code for nets [i] based on digital (9, 41, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
(82−32, 82, 216)-Net over F5 — Digital
Digital (50, 82, 216)-net over F5, using
(82−32, 82, 6485)-Net in Base 5 — Upper bound on s
There is no (50, 82, 6486)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 2071 442888 018712 670817 174087 281512 508812 088386 536029 972225 > 582 [i]