Best Known (6, 6+35, s)-Nets in Base 27
(6, 6+35, 76)-Net over F27 — Constructive and digital
Digital (6, 41, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
(6, 6+35, 635)-Net in Base 27 — Upper bound on s
There is no (6, 41, 636)-net in base 27, because
- 1 times m-reduction [i] would yield (6, 40, 636)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 1826 927511 842130 648525 623859 415991 310022 342400 150144 400537 > 2740 [i]