Best Known (68, 127, s)-Nets in Base 16
(68, 127, 522)-Net over F16 — Constructive and digital
Digital (68, 127, 522)-net over F16, using
- 1 times m-reduction [i] based on digital (68, 128, 522)-net over F16, using
- trace code for nets [i] based on digital (4, 64, 261)-net over F256, using
- net from sequence [i] based on digital (4, 260)-sequence over F256, using
- trace code for nets [i] based on digital (4, 64, 261)-net over F256, using
(68, 127, 649)-Net over F16 — Digital
Digital (68, 127, 649)-net over F16, using
(68, 127, 132639)-Net in Base 16 — Upper bound on s
There is no (68, 127, 132640)-net in base 16, because
- 1 times m-reduction [i] would yield (68, 126, 132640)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 52 381912 828961 874994 250513 288401 035908 473073 655064 569162 735654 219495 050988 609057 953475 452868 609721 572114 743257 912543 643012 897261 555677 667231 618102 259151 > 16126 [i]