Best Known (38, 88, s)-Nets in Base 27
(38, 88, 158)-Net over F27 — Constructive and digital
Digital (38, 88, 158)-net over F27, using
- (u, u+v)-construction [i] based on
- digital (6, 31, 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, 57, 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 (6, 31, 76)-net over F27, using
(38, 88, 265)-Net over F27 — Digital
Digital (38, 88, 265)-net over F27, using
(38, 88, 370)-Net in Base 27 — Constructive
(38, 88, 370)-net in base 27, using
- base change [i] based on digital (16, 66, 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
(38, 88, 42748)-Net in Base 27 — Upper bound on s
There is no (38, 88, 42749)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 912280 220735 342922 590185 848427 959157 459634 052370 848965 062948 150510 703480 990687 858957 843288 536887 106934 076950 507244 123889 553811 > 2788 [i]