Best Known (64, 126, s)-Nets in Base 5
(64, 126, 84)-Net over F5 — Constructive and digital
Digital (64, 126, 84)-net over F5, using
- (u, u+v)-construction [i] based on
- digital (2, 33, 12)-net over F5, using
- net from sequence [i] based on digital (2, 11)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 2 and N(F) ≥ 12, using
- net from sequence [i] based on digital (2, 11)-sequence over F5, using
- digital (31, 93, 72)-net over F5, using
- net from sequence [i] based on digital (31, 71)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
- net from sequence [i] based on digital (31, 71)-sequence over F5, using
- digital (2, 33, 12)-net over F5, using
(64, 126, 133)-Net over F5 — Digital
Digital (64, 126, 133)-net over F5, using
(64, 126, 2129)-Net in Base 5 — Upper bound on s
There is no (64, 126, 2130)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 11778 878258 959003 340858 502952 566800 846702 308956 229882 460764 628199 406342 937656 767882 366825 > 5126 [i]