Best Known (61, 61+47, s)-Nets in Base 16
(61, 61+47, 528)-Net over F16 — Constructive and digital
Digital (61, 108, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 54, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(61, 61+47, 829)-Net over F16 — Digital
Digital (61, 108, 829)-net over F16, using
(61, 61+47, 251257)-Net in Base 16 — Upper bound on s
There is no (61, 108, 251258)-net in base 16, because
- 1 times m-reduction [i] would yield (61, 107, 251258)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 693 203009 619909 883011 395396 570162 930159 805762 916724 860400 352176 539129 770788 157519 638019 296606 699187 687750 920592 353595 456177 891436 > 16107 [i]