Best Known (48, 48+44, s)-Nets in Base 5
(48, 48+44, 82)-Net over F5 — Constructive and digital
Digital (48, 92, 82)-net over F5, using
- net from sequence [i] based on digital (48, 81)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 48 and N(F) ≥ 82, using
(48, 48+44, 113)-Net over F5 — Digital
Digital (48, 92, 113)-net over F5, using
(48, 48+44, 1879)-Net in Base 5 — Upper bound on s
There is no (48, 92, 1880)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 20265 260237 086982 513057 471732 292970 351407 670441 191654 808032 266625 > 592 [i]