Best Known (53, 53+45, s)-Nets in Base 7
(53, 53+45, 108)-Net over F7 — Constructive and digital
Digital (53, 98, 108)-net over F7, using
- trace code for nets [i] based on digital (4, 49, 54)-net over F49, using
- net from sequence [i] based on digital (4, 53)-sequence over F49, using
(53, 53+45, 207)-Net over F7 — Digital
Digital (53, 98, 207)-net over F7, using
(53, 53+45, 8017)-Net in Base 7 — Upper bound on s
There is no (53, 98, 8018)-net in base 7, because
- 1 times m-reduction [i] would yield (53, 97, 8018)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 9437 803766 735324 219016 734911 997826 773974 316145 233004 983737 067015 076672 190745 543821 > 797 [i]