Best Known (42, 79, s)-Nets in Base 7
(42, 79, 104)-Net over F7 — Constructive and digital
Digital (42, 79, 104)-net over F7, using
- 1 times m-reduction [i] based on digital (42, 80, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 40, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
- trace code for nets [i] based on digital (2, 40, 52)-net over F49, using
(42, 79, 162)-Net over F7 — Digital
Digital (42, 79, 162)-net over F7, using
(42, 79, 5770)-Net in Base 7 — Upper bound on s
There is no (42, 79, 5771)-net in base 7, because
- 1 times m-reduction [i] would yield (42, 78, 5771)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 828806 101242 691514 217542 348074 585703 298989 296723 693673 771435 340013 > 778 [i]