Best Known (45, 80, s)-Nets in Base 7
(45, 80, 110)-Net over F7 — Constructive and digital
Digital (45, 80, 110)-net over F7, using
- trace code for nets [i] based on digital (5, 40, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(45, 80, 215)-Net over F7 — Digital
Digital (45, 80, 215)-net over F7, using
(45, 80, 10105)-Net in Base 7 — Upper bound on s
There is no (45, 80, 10106)-net in base 7, because
- 1 times m-reduction [i] would yield (45, 79, 10106)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 5 797731 399771 698878 692910 932537 348854 617199 625184 728836 793291 990205 > 779 [i]