Best Known (64−27, 64, s)-Nets in Base 7
(64−27, 64, 110)-Net over F7 — Constructive and digital
Digital (37, 64, 110)-net over F7, using
- trace code for nets [i] based on digital (5, 32, 55)-net over F49, using
- net from sequence [i] based on digital (5, 54)-sequence over F49, using
(64−27, 64, 216)-Net over F7 — Digital
Digital (37, 64, 216)-net over F7, using
(64−27, 64, 11760)-Net in Base 7 — Upper bound on s
There is no (37, 64, 11761)-net in base 7, because
- 1 times m-reduction [i] would yield (37, 63, 11761)-net in base 7, but
- the generalized Rao bound for nets shows that 7m ≥ 174332 880152 473023 224454 789213 110352 823580 649758 362759 > 763 [i]