Best Known (97−37, 97, s)-Nets in Base 27
(97−37, 97, 286)-Net over F27 — Constructive and digital
Digital (60, 97, 286)-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 (6, 24, 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
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- 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
(97−37, 97, 470)-Net in Base 27 — Constructive
(60, 97, 470)-net in base 27, using
- 271 times duplication [i] based on (59, 96, 470)-net in base 27, using
- base change [i] based on digital (35, 72, 470)-net over F81, using
- (u, u+v)-construction [i] based on
- digital (1, 19, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- digital (16, 53, 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
- digital (1, 19, 100)-net over F81, using
- (u, u+v)-construction [i] based on
- base change [i] based on digital (35, 72, 470)-net over F81, using
(97−37, 97, 3967)-Net over F27 — Digital
Digital (60, 97, 3967)-net over F27, using
(97−37, 97, large)-Net in Base 27 — Upper bound on s
There is no (60, 97, large)-net in base 27, because
- 35 times m-reduction [i] would yield (60, 62, large)-net in base 27, but