Best Known (16, 16+54, s)-Nets in Base 81
(16, 16+54, 370)-Net over F81 — Constructive and digital
Digital (16, 70, 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
(16, 16+54, 12099)-Net in Base 81 — Upper bound on s
There is no (16, 70, 12100)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 39 315803 449963 978683 280203 447266 465581 813078 694933 543547 152189 097559 203963 017865 943315 548890 854190 392528 240526 242138 152932 083728 856001 > 8170 [i]