Best Known (108−76, 108, s)-Nets in Base 27
(108−76, 108, 114)-Net over F27 — Constructive and digital
Digital (32, 108, 114)-net over F27, using
- t-expansion [i] based on digital (23, 108, 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
(108−76, 108, 160)-Net in Base 27 — Constructive
(32, 108, 160)-net in base 27, using
- base change [i] based on digital (5, 81, 160)-net over F81, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 5 and N(F) ≥ 160, using
- net from sequence [i] based on digital (5, 159)-sequence over F81, using
(108−76, 108, 208)-Net over F27 — Digital
Digital (32, 108, 208)-net over F27, using
- t-expansion [i] based on digital (24, 108, 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
(108−76, 108, 6739)-Net in Base 27 — Upper bound on s
There is no (32, 108, 6740)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 38753 904759 472336 134684 999178 526483 776525 373502 921076 260094 768787 036671 033451 005963 212463 027857 269462 825876 877655 046307 943578 855917 088881 877034 571270 111673 > 27108 [i]