Best Known (50−28, 50, s)-Nets in Base 81
(50−28, 50, 370)-Net over F81 — Constructive and digital
Digital (22, 50, 370)-net over F81, using
- t-expansion [i] based on digital (16, 50, 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
(50−28, 50, 481)-Net over F81 — Digital
Digital (22, 50, 481)-net over F81, using
(50−28, 50, 494743)-Net in Base 81 — Upper bound on s
There is no (22, 50, 494744)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 265620 139927 831217 780584 371995 672016 110801 606313 680737 359329 947554 071476 330559 275580 709689 089281 > 8150 [i]