Best Known (45, 82, s)-Nets in Base 7
(45, 82, 108)-Net over F7 — Constructive and digital
Digital (45, 82, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 41, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(45, 82, 193)-Net over F7 — Digital
Digital (45, 82, 193)-net over F7, using
(45, 82, 7985)-Net in Base 7 — Upper bound on s
There is no (45, 82, 7986)-net in base 7, because
- 1 times m-reduction [i] would yield (45, 81, 7986)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 284 153288 495045 563714 442144 304705 341817 291705 930852 389540 048003 317189 > 781 [i]