Best Known (52−36, 52, s)-Nets in Base 81
(52−36, 52, 370)-Net over F81 — Constructive and digital
Digital (16, 52, 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
(52−36, 52, 30783)-Net in Base 81 — Upper bound on s
There is no (16, 52, 30784)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 1743 190462 165367 689058 529347 597884 797843 287212 132307 335286 186683 990475 559074 127158 104973 689307 432961 > 8152 [i]