Best Known (88−37, 88, s)-Nets in Base 16
(88−37, 88, 528)-Net over F16 — Constructive and digital
Digital (51, 88, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 44, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(88−37, 88, 854)-Net over F16 — Digital
Digital (51, 88, 854)-net over F16, using
(88−37, 88, 332613)-Net in Base 16 — Upper bound on s
There is no (51, 88, 332614)-net in base 16, because
- 1 times m-reduction [i] would yield (51, 87, 332614)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 573 401816 771958 097453 013884 561063 729636 270645 227693 786720 045114 797687 203096 042376 339617 923943 432071 401656 > 1687 [i]