Best Known (91−66, 91, s)-Nets in Base 27
(91−66, 91, 114)-Net over F27 — Constructive and digital
Digital (25, 91, 114)-net over F27, using
- t-expansion [i] based on digital (23, 91, 114)-net over F27, using
- net from sequence [i] based on digital (23, 113)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 23 and N(F) ≥ 114, using
- net from sequence [i] based on digital (23, 113)-sequence over F27, using
(91−66, 91, 116)-Net in Base 27 — Constructive
(25, 91, 116)-net in base 27, using
- 1 times m-reduction [i] based on (25, 92, 116)-net in base 27, using
- base change [i] based on digital (2, 69, 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, 69, 116)-net over F81, using
(91−66, 91, 208)-Net over F27 — Digital
Digital (25, 91, 208)-net over F27, using
- t-expansion [i] based on digital (24, 91, 208)-net over F27, using
- net from sequence [i] based on digital (24, 207)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 24 and N(F) ≥ 208, using
- net from sequence [i] based on digital (24, 207)-sequence over F27, using
(91−66, 91, 4464)-Net in Base 27 — Upper bound on s
There is no (25, 91, 4465)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 17981 231996 510239 991367 758060 850976 300829 657254 583652 683248 922134 093386 882640 820600 020715 520278 536441 807069 210882 397038 192828 129275 > 2791 [i]