Best Known (65, 65+51, s)-Nets in Base 16
(65, 65+51, 528)-Net over F16 — Constructive and digital
Digital (65, 116, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 58, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(65, 65+51, 830)-Net over F16 — Digital
Digital (65, 116, 830)-net over F16, using
(65, 65+51, 234671)-Net in Base 16 — Upper bound on s
There is no (65, 116, 234672)-net in base 16, because
- 1 times m-reduction [i] would yield (65, 115, 234672)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 2 977144 672223 934065 820611 304420 850923 942533 942719 401835 170317 647014 657823 656865 651536 284265 694328 128977 966046 256277 007683 527234 530671 145126 > 16115 [i]