Best Known (46, 95, s)-Nets in Base 7
(46, 95, 47)-Net over F7 — Constructive and digital
Digital (46, 95, 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, 95, 128)-Net over F7 — Digital
Digital (46, 95, 128)-net over F7, using
(46, 95, 3320)-Net in Base 7 — Upper bound on s
There is no (46, 95, 3321)-net in base 7, because
- 1 times m-reduction [i] would yield (46, 94, 3321)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 27 659154 831307 576881 444065 906068 517505 801243 446383 936470 000063 471010 073824 196161 > 794 [i]