Best Known (40, 40+32, s)-Nets in Base 7
(40, 40+32, 108)-Net over F7 — Constructive and digital
Digital (40, 72, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 36, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(40, 40+32, 187)-Net over F7 — Digital
Digital (40, 72, 187)-net over F7, using
(40, 40+32, 7189)-Net in Base 7 — Upper bound on s
There is no (40, 72, 7190)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 7 035203 337181 533496 606661 625274 804697 977246 212892 182449 409313 > 772 [i]