Best Known (118−47, 118, s)-Nets in Base 16
(118−47, 118, 538)-Net over F16 — Constructive and digital
Digital (71, 118, 538)-net over F16, using
- trace code for nets [i] based on digital (12, 59, 269)-net over F256, using
- net from sequence [i] based on digital (12, 268)-sequence over F256, using
(118−47, 118, 1495)-Net over F16 — Digital
Digital (71, 118, 1495)-net over F16, using
(118−47, 118, 838811)-Net in Base 16 — Upper bound on s
There is no (71, 118, 838812)-net in base 16, because
- 1 times m-reduction [i] would yield (71, 117, 838812)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 762 149868 776924 376874 530298 314253 572038 722661 193669 928683 640633 429399 570422 716379 972311 440394 071389 849385 816611 717126 655050 300578 267051 425666 > 16117 [i]