Best Known (37, 37+25, s)-Nets in Base 7
(37, 37+25, 112)-Net over F7 — Constructive and digital
Digital (37, 62, 112)-net over F7, using
- trace code for nets [i] based on digital (6, 31, 56)-net over F49, using
- net from sequence [i] based on digital (6, 55)-sequence over F49, using
(37, 37+25, 261)-Net over F7 — Digital
Digital (37, 62, 261)-net over F7, using
(37, 37+25, 17415)-Net in Base 7 — Upper bound on s
There is no (37, 62, 17416)-net in base 7, because
- 1 times m-reduction [i] would yield (37, 61, 17416)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 3557 152745 304941 361950 503412 500506 188592 556609 475521 > 761 [i]