Best Known (97−47, 97, s)-Nets in Base 7
(97−47, 97, 102)-Net over F7 — Constructive and digital
Digital (50, 97, 102)-net over F7, using
- 1 times m-reduction [i] based on digital (50, 98, 102)-net over F7, using
- trace code for nets [i] based on digital (1, 49, 51)-net over F49, using
- net from sequence [i] based on digital (1, 50)-sequence over F49, using
- trace code for nets [i] based on digital (1, 49, 51)-net over F49, using
(97−47, 97, 167)-Net over F7 — Digital
Digital (50, 97, 167)-net over F7, using
(97−47, 97, 5277)-Net in Base 7 — Upper bound on s
There is no (50, 97, 5278)-net in base 7, because
- 1 times m-reduction [i] would yield (50, 96, 5278)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 1348 304565 011789 718903 355107 527054 649175 396721 343226 116230 871712 438455 039946 733953 > 796 [i]