Best Known (61, 61+41, s)-Nets in Base 7
(61, 61+41, 120)-Net over F7 — Constructive and digital
Digital (61, 102, 120)-net over F7, using
- trace code for nets [i] based on digital (10, 51, 60)-net over F49, using
- net from sequence [i] based on digital (10, 59)-sequence over F49, using
(61, 61+41, 376)-Net over F7 — Digital
Digital (61, 102, 376)-net over F7, using
(61, 61+41, 25626)-Net in Base 7 — Upper bound on s
There is no (61, 102, 25627)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 101, 25627)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 22 657064 414806 277757 357143 269765 619358 418398 821096 177125 875052 945258 203575 256437 093161 > 7101 [i]