Best Known (27−20, 27, s)-Nets in Base 27
(27−20, 27, 82)-Net over F27 — Constructive and digital
Digital (7, 27, 82)-net over F27, using
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 7 and N(F) ≥ 82, using
(27−20, 27, 1270)-Net in Base 27 — Upper bound on s
There is no (7, 27, 1271)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 444 701572 364584 103013 538264 641511 415661 > 2727 [i]