Best Known (57, 57+53, s)-Nets in Base 7
(57, 57+53, 104)-Net over F7 — Constructive and digital
Digital (57, 110, 104)-net over F7, using
- trace code for nets [i] based on digital (2, 55, 52)-net over F49, using
- net from sequence [i] based on digital (2, 51)-sequence over F49, using
(57, 57+53, 188)-Net over F7 — Digital
Digital (57, 110, 188)-net over F7, using
(57, 57+53, 6121)-Net in Base 7 — Upper bound on s
There is no (57, 110, 6122)-net in base 7, because
- 1 times m-reduction [i] would yield (57, 109, 6122)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 130 772992 615611 650219 969600 279744 780087 797533 438570 668313 075227 477085 850442 102584 051351 011493 > 7109 [i]