Best Known (65, 65+35, s)-Nets in Base 7
(65, 65+35, 130)-Net over F7 — Constructive and digital
Digital (65, 100, 130)-net over F7, using
- trace code for nets [i] based on digital (15, 50, 65)-net over F49, using
- net from sequence [i] based on digital (15, 64)-sequence over F49, using
(65, 65+35, 707)-Net over F7 — Digital
Digital (65, 100, 707)-net over F7, using
(65, 65+35, 99815)-Net in Base 7 — Upper bound on s
There is no (65, 100, 99816)-net in base 7, because
- 1 times m-reduction [i] would yield (65, 99, 99816)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 462068 884977 270212 117536 358339 193641 207617 316470 794279 404681 170945 200994 112342 434417 > 799 [i]