Best Known (17, 17+50, s)-Nets in Base 81
(17, 17+50, 370)-Net over F81 — Constructive and digital
Digital (17, 67, 370)-net over F81, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(17, 17+50, 16555)-Net in Base 81 — Upper bound on s
There is no (17, 67, 16556)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 73 885590 841261 764109 624770 869886 048676 561047 289596 448437 963597 721682 347890 439655 707257 122801 204641 492022 225626 221769 362195 032001 > 8167 [i]