Best Known (49−30, 49, s)-Nets in Base 81
(49−30, 49, 370)-Net over F81 — Constructive and digital
Digital (19, 49, 370)-net over F81, using
- t-expansion [i] based on digital (16, 49, 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
(49−30, 49, 137733)-Net in Base 81 — Upper bound on s
There is no (19, 49, 137734)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 3279 499223 727633 919825 626158 019408 980713 295208 687527 328204 619456 993023 034638 654065 357565 120801 > 8149 [i]