Best Known (59−36, 59, s)-Nets in Base 81
(59−36, 59, 370)-Net over F81 — Constructive and digital
Digital (23, 59, 370)-net over F81, using
- t-expansion [i] based on digital (16, 59, 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
(59−36, 59, 170062)-Net in Base 81 — Upper bound on s
There is no (23, 59, 170063)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 39870 973696 963724 759306 942573 066007 455154 026543 131372 428266 039575 453158 007834 391424 787184 172870 406761 541248 717921 > 8159 [i]