Best Known (4, 4+28, s)-Nets in Base 27
(4, 4+28, 64)-Net over F27 — Constructive and digital
Digital (4, 32, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
(4, 4+28, 427)-Net in Base 27 — Upper bound on s
There is no (4, 32, 428)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 6430 266851 354363 364591 238568 798471 816024 722761 > 2732 [i]