Best Known (7, 7+44, s)-Nets in Base 27
(7, 7+44, 82)-Net over F27 — Constructive and digital
Digital (7, 51, 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
(7, 7+44, 713)-Net in Base 27 — Upper bound on s
There is no (7, 51, 714)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 10 235581 216803 463731 616753 303983 900949 855578 352273 449885 566732 014259 609421 > 2751 [i]