Best Known (35, 73, s)-Nets in Base 27
(35, 73, 170)-Net over F27 — Constructive and digital
Digital (35, 73, 170)-net over F27, using
- (u, u+v)-construction [i] based on
- digital (7, 26, 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 (9, 47, 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
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- digital (7, 26, 82)-net over F27, using
(35, 73, 370)-Net in Base 27 — Constructive
(35, 73, 370)-net in base 27, using
- 3 times m-reduction [i] based on (35, 76, 370)-net in base 27, using
- base change [i] based on digital (16, 57, 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, 57, 370)-net over F81, using
(35, 73, 385)-Net over F27 — Digital
Digital (35, 73, 385)-net over F27, using
(35, 73, 96304)-Net in Base 27 — Upper bound on s
There is no (35, 73, 96305)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 308 717007 234878 083171 950408 262463 203762 951035 232660 392900 375475 716993 971076 083911 240493 767885 170630 575843 > 2773 [i]