Best Known (55, 55+41, s)-Nets in Base 16
(55, 55+41, 528)-Net over F16 — Constructive and digital
Digital (55, 96, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 48, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(55, 55+41, 836)-Net over F16 — Digital
Digital (55, 96, 836)-net over F16, using
(55, 55+41, 290247)-Net in Base 16 — Upper bound on s
There is no (55, 96, 290248)-net in base 16, because
- 1 times m-reduction [i] would yield (55, 95, 290248)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 2 462688 416477 851315 740687 076484 497228 988256 556471 435982 276391 938788 550657 867958 963299 291865 678524 733782 246709 445276 > 1695 [i]