Best Known (52, 52+38, s)-Nets in Base 16
(52, 52+38, 528)-Net over F16 — Constructive and digital
Digital (52, 90, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 45, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(52, 52+38, 848)-Net over F16 — Digital
Digital (52, 90, 848)-net over F16, using
(52, 52+38, 267198)-Net in Base 16 — Upper bound on s
There is no (52, 90, 267199)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 2 348648 828294 380926 886273 385627 947295 326843 644808 111047 372557 639540 260931 552027 292199 056394 968066 014217 941716 > 1690 [i]