Best Known (101, 136, s)-Nets in Base 5
(101, 136, 408)-Net over F5 — Constructive and digital
Digital (101, 136, 408)-net over F5, using
- 6 times m-reduction [i] based on digital (101, 142, 408)-net over F5, using
- trace code for nets [i] based on digital (30, 71, 204)-net over F25, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 30 and N(F) ≥ 204, using
- net from sequence [i] based on digital (30, 203)-sequence over F25, using
- trace code for nets [i] based on digital (30, 71, 204)-net over F25, using
(101, 136, 2132)-Net over F5 — Digital
Digital (101, 136, 2132)-net over F5, using
(101, 136, 637559)-Net in Base 5 — Upper bound on s
There is no (101, 136, 637560)-net in base 5, because
- 1 times m-reduction [i] would yield (101, 135, 637560)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 22958 908885 719166 287036 090457 498989 648579 152825 669554 098984 991142 784998 174688 218177 126505 033185 > 5135 [i]