Best Known (16, 61, s)-Nets in Base 81
(16, 61, 370)-Net over F81 — Constructive and digital
Digital (16, 61, 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, 61, 18132)-Net in Base 81 — Upper bound on s
There is no (16, 61, 18133)-net in base 81, because
- 1 times m-reduction [i] would yield (16, 60, 18133)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 3 230135 845795 229048 693603 859232 167649 785644 143515 882063 564706 460218 947865 281632 310062 175367 566292 307757 098473 136481 > 8160 [i]