Best Known (79, 140, s)-Nets in Base 5
(79, 140, 208)-Net over F5 — Constructive and digital
Digital (79, 140, 208)-net over F5, using
- trace code for nets [i] based on digital (9, 70, 104)-net over F25, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F25, using
(79, 140, 221)-Net over F5 — Digital
Digital (79, 140, 221)-net over F5, using
(79, 140, 5193)-Net in Base 5 — Upper bound on s
There is no (79, 140, 5194)-net in base 5, because
- 1 times m-reduction [i] would yield (79, 139, 5194)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 14 394092 305964 622904 042054 946273 761999 746275 597292 632276 526847 740170 947015 954859 084672 420970 044161 > 5139 [i]