Best Known (68, 68+56, s)-Nets in Base 16
(68, 68+56, 526)-Net over F16 — Constructive and digital
Digital (68, 124, 526)-net over F16, using
- trace code for nets [i] based on digital (6, 62, 263)-net over F256, using
- net from sequence [i] based on digital (6, 262)-sequence over F256, using
(68, 68+56, 747)-Net over F16 — Digital
Digital (68, 124, 747)-net over F16, using
(68, 68+56, 161958)-Net in Base 16 — Upper bound on s
There is no (68, 124, 161959)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 204602 312261 436829 205030 221562 629956 965619 152119 646855 576637 927652 577517 939668 855655 202620 028753 419489 089135 833046 843856 217517 130248 367433 426736 158156 > 16124 [i]