Best Known (67, 67+55, s)-Nets in Base 16
(67, 67+55, 526)-Net over F16 — Constructive and digital
Digital (67, 122, 526)-net over F16, using
- trace code for nets [i] based on digital (6, 61, 263)-net over F256, using
- net from sequence [i] based on digital (6, 262)-sequence over F256, using
(67, 67+55, 745)-Net over F16 — Digital
Digital (67, 122, 745)-net over F16, using
(67, 67+55, 181351)-Net in Base 16 — Upper bound on s
There is no (67, 122, 181352)-net in base 16, because
- 1 times m-reduction [i] would yield (67, 121, 181352)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 49 950693 968960 346251 162749 296388 709957 316015 245260 822523 390250 944714 126117 513432 501255 587537 005988 299352 655947 736471 886898 433583 279329 966464 478236 > 16121 [i]