Best Known (9, 58, s)-Nets in Base 27
(9, 58, 88)-Net over F27 — Constructive and digital
Digital (9, 58, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
(9, 58, 99)-Net over F27 — Digital
Digital (9, 58, 99)-net over F27, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 99, using
(9, 58, 933)-Net in Base 27 — Upper bound on s
There is no (9, 58, 934)-net in base 27, because
- 1 times m-reduction [i] would yield (9, 57, 934)-net in base 27, but
- the generalized Rao bound for nets shows that 27m ≥ 3911 076902 469643 160214 957599 060069 655019 191408 279043 778283 967457 105985 884800 926321 > 2757 [i]