Best Known (104−70, 104, s)-Nets in Base 27
(104−70, 104, 114)-Net over F27 — Constructive and digital
Digital (34, 104, 114)-net over F27, using
- t-expansion [i] based on digital (23, 104, 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
(104−70, 104, 172)-Net in Base 27 — Constructive
(34, 104, 172)-net in base 27, using
- 4 times m-reduction [i] based on (34, 108, 172)-net in base 27, using
- base change [i] based on digital (7, 81, 172)-net over F81, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 7 and N(F) ≥ 172, using
- net from sequence [i] based on digital (7, 171)-sequence over F81, using
- base change [i] based on digital (7, 81, 172)-net over F81, using
(104−70, 104, 220)-Net over F27 — Digital
Digital (34, 104, 220)-net over F27, using
- t-expansion [i] based on digital (33, 104, 220)-net over F27, using
- net from sequence [i] based on digital (33, 219)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 33 and N(F) ≥ 220, using
- net from sequence [i] based on digital (33, 219)-sequence over F27, using
(104−70, 104, 226)-Net in Base 27
(34, 104, 226)-net in base 27, using
- base change [i] based on digital (8, 78, 226)-net over F81, using
- net from sequence [i] based on digital (8, 225)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 8 and N(F) ≥ 226, using
- net from sequence [i] based on digital (8, 225)-sequence over F81, using
(104−70, 104, 9564)-Net in Base 27 — Upper bound on s
There is no (34, 104, 9565)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 72932 868815 322751 161548 050341 281292 654739 256426 524984 761327 083883 497074 313918 733697 470974 974956 924123 349844 369628 511857 460822 012953 662984 830818 706227 > 27104 [i]