Best Known (46, 108, s)-Nets in Base 7
(46, 108, 47)-Net over F7 — Constructive and digital
Digital (46, 108, 47)-net over F7, using
- net from sequence [i] based on digital (46, 46)-sequence over F7, using
- base reduction for sequences [i] based on digital (0, 46)-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, 46)-sequence over F49, using
(46, 108, 105)-Net over F7 — Digital
Digital (46, 108, 105)-net over F7, using
- t-expansion [i] based on digital (43, 108, 105)-net over F7, using
- net from sequence [i] based on digital (43, 104)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 43 and N(F) ≥ 105, using
- net from sequence [i] based on digital (43, 104)-sequence over F7, using
(46, 108, 1800)-Net in Base 7 — Upper bound on s
There is no (46, 108, 1801)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 18 966212 543512 414810 051255 241954 246361 579272 300565 166394 752338 323551 662316 573911 664030 890871 > 7108 [i]