Best Known (70−38, 70, s)-Nets in Base 81
(70−38, 70, 370)-Net over F81 — Constructive and digital
Digital (32, 70, 370)-net over F81, using
- t-expansion [i] based on 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
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(70−38, 70, 766)-Net over F81 — Digital
Digital (32, 70, 766)-net over F81, using
(70−38, 70, 1065080)-Net in Base 81 — Upper bound on s
There is no (32, 70, 1065081)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 39 260588 721292 607446 460622 045580 476663 109168 471501 827328 811918 293619 711794 047929 784329 522429 468003 041157 697199 727060 786751 405227 953521 > 8170 [i]