Best Known (55, 55+29, s)-Nets in Base 7
(55, 55+29, 126)-Net over F7 — Constructive and digital
Digital (55, 84, 126)-net over F7, using
- trace code for nets [i] based on digital (13, 42, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(55, 55+29, 660)-Net over F7 — Digital
Digital (55, 84, 660)-net over F7, using
(55, 55+29, 103155)-Net in Base 7 — Upper bound on s
There is no (55, 84, 103156)-net in base 7, because
- 1 times m-reduction [i] would yield (55, 83, 103156)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 13904 413385 166098 782886 140456 168080 781809 973126 114003 115883 527138 229913 > 783 [i]