Best Known (56−49, 56, s)-Nets in Base 27
(56−49, 56, 82)-Net over F27 — Constructive and digital
Digital (7, 56, 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
(56−49, 56, 706)-Net in Base 27 — Upper bound on s
There is no (7, 56, 707)-net in base 27, because
- 1 times m-reduction [i] would yield (7, 55, 707)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 5 414735 838145 097425 876566 134539 246064 975365 102089 743584 695105 271093 069075 034769 > 2755 [i]