Best Known (61, 61+33, s)-Nets in Base 7
(61, 61+33, 128)-Net over F7 — Constructive and digital
Digital (61, 94, 128)-net over F7, using
- trace code for nets [i] based on digital (14, 47, 64)-net over F49, using
- net from sequence [i] based on digital (14, 63)-sequence over F49, using
(61, 61+33, 663)-Net over F7 — Digital
Digital (61, 94, 663)-net over F7, using
(61, 61+33, 92570)-Net in Base 7 — Upper bound on s
There is no (61, 94, 92571)-net in base 7, because
- 1 times m-reduction [i] would yield (61, 93, 92571)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 3 927921 258798 738429 904958 118682 000682 970818 052249 737458 677794 433118 401588 939937 > 793 [i]