Best Known (58, 95, s)-Nets in Base 27
(58, 95, 274)-Net over F27 — Constructive and digital
Digital (58, 95, 274)-net over F27, using
- generalized (u, u+v)-construction [i] based on
- digital (4, 13, 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, 16, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27 (see above)
- digital (4, 22, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27 (see above)
- digital (7, 44, 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
- net from sequence [i] based on digital (7, 81)-sequence over F27, using
- digital (4, 13, 64)-net over F27, using
(58, 95, 452)-Net in Base 27 — Constructive
(58, 95, 452)-net in base 27, using
- (u, u+v)-construction [i] based on
- (6, 24, 82)-net in base 27, using
- base change [i] based on digital (0, 18, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base change [i] based on digital (0, 18, 82)-net over F81, using
- (34, 71, 370)-net in base 27, using
- 1 times m-reduction [i] based on (34, 72, 370)-net in base 27, using
- base change [i] based on digital (16, 54, 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, 54, 370)-net over F81, using
- 1 times m-reduction [i] based on (34, 72, 370)-net in base 27, using
- (6, 24, 82)-net in base 27, using
(58, 95, 3306)-Net over F27 — Digital
Digital (58, 95, 3306)-net over F27, using
(58, 95, large)-Net in Base 27 — Upper bound on s
There is no (58, 95, large)-net in base 27, because
- 35 times m-reduction [i] would yield (58, 60, large)-net in base 27, but