Best Known (67−51, 67, s)-Nets in Base 81
(67−51, 67, 370)-Net over F81 — Constructive and digital
Digital (16, 67, 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
(67−51, 67, 13885)-Net in Base 81 — Upper bound on s
There is no (16, 67, 13886)-net in base 81, because
- 1 times m-reduction [i] would yield (16, 66, 13886)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 913385 541415 885601 807527 097966 875095 905368 948260 415522 081144 673132 446099 410230 090983 066744 822279 778149 129703 981349 737604 092001 > 8166 [i]