Best Known (56, 56+42, s)-Nets in Base 16
(56, 56+42, 528)-Net over F16 — Constructive and digital
Digital (56, 98, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 49, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(56, 56+42, 833)-Net over F16 — Digital
Digital (56, 98, 833)-net over F16, using
(56, 56+42, 240772)-Net in Base 16 — Upper bound on s
There is no (56, 98, 240773)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 10087 134135 906375 176174 865266 618688 873385 094187 436418 517352 680159 446063 466228 271454 908028 571850 740017 729857 191698 634496 > 1698 [i]