Best Known (80−31, 80, s)-Nets in Base 7
(80−31, 80, 118)-Net over F7 — Constructive and digital
Digital (49, 80, 118)-net over F7, using
- trace code for nets [i] based on digital (9, 40, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(80−31, 80, 374)-Net over F7 — Digital
Digital (49, 80, 374)-net over F7, using
(80−31, 80, 30222)-Net in Base 7 — Upper bound on s
There is no (49, 80, 30223)-net in base 7, because
- 1 times m-reduction [i] would yield (49, 79, 30223)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 5 792684 241314 509218 579432 401137 921156 620167 522358 733984 618571 752231 > 779 [i]