Best Known (96−35, 96, s)-Nets in Base 7
(96−35, 96, 126)-Net over F7 — Constructive and digital
Digital (61, 96, 126)-net over F7, using
- trace code for nets [i] based on digital (13, 48, 63)-net over F49, using
- net from sequence [i] based on digital (13, 62)-sequence over F49, using
(96−35, 96, 566)-Net over F7 — Digital
Digital (61, 96, 566)-net over F7, using
(96−35, 96, 63143)-Net in Base 7 — Upper bound on s
There is no (61, 96, 63144)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 95, 63144)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 192 492918 621328 366072 728223 495471 799407 119295 150433 516303 229035 650032 766522 892017 > 795 [i]