Best Known (61, 61+39, s)-Nets in Base 7
(61, 61+39, 122)-Net over F7 — Constructive and digital
Digital (61, 100, 122)-net over F7, using
- trace code for nets [i] based on digital (11, 50, 61)-net over F49, using
- net from sequence [i] based on digital (11, 60)-sequence over F49, using
(61, 61+39, 426)-Net over F7 — Digital
Digital (61, 100, 426)-net over F7, using
(61, 61+39, 33443)-Net in Base 7 — Upper bound on s
There is no (61, 100, 33444)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 99, 33444)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 462195 998299 534522 417151 181604 626939 211134 760390 790272 965627 972483 944878 040747 040481 > 799 [i]