Best Known (100−41, 100, s)-Nets in Base 7
(100−41, 100, 118)-Net over F7 — Constructive and digital
Digital (59, 100, 118)-net over F7, using
- trace code for nets [i] based on digital (9, 50, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(100−41, 100, 338)-Net over F7 — Digital
Digital (59, 100, 338)-net over F7, using
(100−41, 100, 21092)-Net in Base 7 — Upper bound on s
There is no (59, 100, 21093)-net in base 7, because
- 1 times m-reduction [i] would yield (59, 99, 21093)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 462327 187182 007865 049508 221110 782400 921612 064992 024677 930704 923500 097105 663747 342497 > 799 [i]