Best Known (55, 55+51, s)-Nets in Base 7
(55, 55+51, 104)-Net over F7 — Constructive and digital
Digital (55, 106, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 53, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(55, 55+51, 184)-Net over F7 — Digital
Digital (55, 106, 184)-net over F7, using
(55, 55+51, 5994)-Net in Base 7 — Upper bound on s
There is no (55, 106, 5995)-net in base 7, because
- 1 times m-reduction [i] would yield (55, 105, 5995)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 54585 778296 923234 810269 077260 001733 127110 379548 641054 808675 938607 508409 480129 345376 389811 > 7105 [i]