Best Known (76, 148, s)-Nets in Base 5
(76, 148, 98)-Net over F5 — Constructive and digital
Digital (76, 148, 98)-net over F5, using
- (u, u+v)-construction [i] based on
- digital (9, 45, 26)-net over F5, using
- net from sequence [i] based on digital (9, 25)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 9 and N(F) ≥ 26, using
- net from sequence [i] based on digital (9, 25)-sequence over F5, using
- digital (31, 103, 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 (9, 45, 26)-net over F5, using
(76, 148, 158)-Net over F5 — Digital
Digital (76, 148, 158)-net over F5, using
(76, 148, 2641)-Net in Base 5 — Upper bound on s
There is no (76, 148, 2642)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 28 099330 153449 164109 542574 294432 383798 993618 777144 208115 049596 294217 397828 635174 684322 398032 520255 411265 > 5148 [i]