Best Known (94−58, 94, s)-Nets in Base 7
(94−58, 94, 37)-Net over F7 — Constructive and digital
Digital (36, 94, 37)-net over F7, using
- net from sequence [i] based on digital (36, 36)-sequence over F7, using
- base reduction for sequences [i] based on digital (0, 36)-sequence over F49, using
- s-reduction based on digital (0, 49)-sequence over F49, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using
- the rational function field F49(x) [i]
- Niederreiter sequence [i]
- s-reduction based on digital (0, 49)-sequence over F49, using
- base reduction for sequences [i] based on digital (0, 36)-sequence over F49, using
(94−58, 94, 96)-Net over F7 — Digital
Digital (36, 94, 96)-net over F7, using
- t-expansion [i] based on digital (33, 94, 96)-net over F7, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 33 and N(F) ≥ 96, using
- net from sequence [i] based on digital (33, 95)-sequence over F7, using
(94−58, 94, 1048)-Net in Base 7 — Upper bound on s
There is no (36, 94, 1049)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 27 873987 086191 858192 486878 072212 375980 033668 450168 597422 957237 802575 697036 737911 > 794 [i]