Best Known (104−43, 104, s)-Nets in Base 7
(104−43, 104, 118)-Net over F7 — Constructive and digital
Digital (61, 104, 118)-net over F7, using
- trace code for nets [i] based on digital (9, 52, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(104−43, 104, 336)-Net over F7 — Digital
Digital (61, 104, 336)-net over F7, using
(104−43, 104, 20186)-Net in Base 7 — Upper bound on s
There is no (61, 104, 20187)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 103, 20187)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1110 287696 232020 472935 392233 364315 543963 160484 998214 227293 247639 522878 336605 347185 037227 > 7103 [i]