Best Known (30, 52, s)-Nets in Base 27
(30, 52, 192)-Net over F27 — Constructive and digital
Digital (30, 52, 192)-net over F27, using
- 1 times m-reduction [i] based on digital (30, 53, 192)-net over F27, using
- generalized (u, u+v)-construction [i] based on
- digital (4, 11, 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
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- digital (4, 15, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27 (see above)
- digital (4, 27, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27 (see above)
- digital (4, 11, 64)-net over F27, using
- generalized (u, u+v)-construction [i] based on
(30, 52, 370)-Net in Base 27 — Constructive
(30, 52, 370)-net in base 27, using
- 4 times m-reduction [i] based on (30, 56, 370)-net in base 27, using
- base change [i] based on digital (16, 42, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- base change [i] based on digital (16, 42, 370)-net over F81, using
(30, 52, 1180)-Net over F27 — Digital
Digital (30, 52, 1180)-net over F27, using
(30, 52, 1102771)-Net in Base 27 — Upper bound on s
There is no (30, 52, 1102772)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 269 722787 300736 831965 435632 354805 316008 522471 911941 518051 853197 190749 474193 > 2752 [i]