Best Known (48−30, 48, s)-Nets in Base 81
(48−30, 48, 370)-Net over F81 — Constructive and digital
Digital (18, 48, 370)-net over F81, using
- t-expansion [i] based on digital (16, 48, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(48−30, 48, 102753)-Net in Base 81 — Upper bound on s
There is no (18, 48, 102754)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 40 484324 904878 353758 034710 357240 194032 154354 230019 068693 107946 596673 415897 741226 108831 624801 > 8148 [i]