Best Known (52−21, 52, s)-Nets in Base 7
(52−21, 52, 110)-Net over F7 — Constructive and digital
Digital (31, 52, 110)-net over F7, using
- trace code for nets [i] based on digital (5, 26, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(52−21, 52, 228)-Net over F7 — Digital
Digital (31, 52, 228)-net over F7, using
(52−21, 52, 15404)-Net in Base 7 — Upper bound on s
There is no (31, 52, 15405)-net in base 7, because
- 1 times m-reduction [i] would yield (31, 51, 15405)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 12 592281 036400 354271 182212 736608 623244 623209 > 751 [i]