Best Known (55, 55+37, s)-Nets in Base 7
(55, 55+37, 118)-Net over F7 — Constructive and digital
Digital (55, 92, 118)-net over F7, using
- trace code for nets [i] based on digital (9, 46, 59)-net over F49, using
- net from sequence [i] based on digital (9, 58)-sequence over F49, using
(55, 55+37, 347)-Net over F7 — Digital
Digital (55, 92, 347)-net over F7, using
(55, 55+37, 23561)-Net in Base 7 — Upper bound on s
There is no (55, 92, 23562)-net in base 7, because
- 1 times m-reduction [i] would yield (55, 91, 23562)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 80170 409009 777437 893621 143486 575744 088056 622294 653609 656825 139771 281853 562965 > 791 [i]