Best Known (11, 35, s)-Nets in Base 27
(11, 35, 96)-Net over F27 — Constructive and digital
Digital (11, 35, 96)-net over F27, using
- net from sequence [i] based on digital (11, 95)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 96, using
(11, 35, 100)-Net over F27 — Digital
Digital (11, 35, 100)-net over F27, using
- net from sequence [i] based on digital (11, 99)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 11 and N(F) ≥ 100, using
(11, 35, 116)-Net in Base 27 — Constructive
(11, 35, 116)-net in base 27, using
- 1 times m-reduction [i] based on (11, 36, 116)-net in base 27, using
- base change [i] based on digital (2, 27, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- base change [i] based on digital (2, 27, 116)-net over F81, using
(11, 35, 118)-Net in Base 27
(11, 35, 118)-net in base 27, using
- 1 times m-reduction [i] based on (11, 36, 118)-net in base 27, using
- base change [i] based on digital (2, 27, 118)-net over F81, using
- net from sequence [i] based on digital (2, 117)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 118, using
- net from sequence [i] based on digital (2, 117)-sequence over F81, using
- base change [i] based on digital (2, 27, 118)-net over F81, using
(11, 35, 3036)-Net in Base 27 — Upper bound on s
There is no (11, 35, 3037)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 125 572902 779591 842246 627416 023688 820285 223120 833489 > 2735 [i]