Best Known (10, 10+26, s)-Nets in Base 27
(10, 10+26, 94)-Net over F27 — Constructive and digital
Digital (10, 36, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
(10, 10+26, 99)-Net over F27 — Digital
Digital (10, 36, 99)-net over F27, using
- t-expansion [i] based on digital (9, 36, 99)-net over F27, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 99, using
- net from sequence [i] based on digital (9, 98)-sequence over F27, using
(10, 10+26, 100)-Net in Base 27 — Constructive
(10, 36, 100)-net in base 27, using
- base change [i] based on digital (1, 27, 100)-net over F81, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- net from sequence [i] based on digital (1, 99)-sequence over F81, using
(10, 10+26, 1998)-Net in Base 27 — Upper bound on s
There is no (10, 36, 1999)-net in base 27, because
- the generalized Rao bound for nets shows that 27m ≥ 3382 623632 104167 972178 489279 681247 717015 336473 059663 > 2736 [i]