Best Known (61, 61+49, s)-Nets in Base 16
(61, 61+49, 526)-Net over F16 — Constructive and digital
Digital (61, 110, 526)-net over F16, using
- trace code for nets [i] based on digital (6, 55, 263)-net over F256, using
- net from sequence [i] based on digital (6, 262)-sequence over F256, using
(61, 61+49, 737)-Net over F16 — Digital
Digital (61, 110, 737)-net over F16, using
(61, 61+49, 192288)-Net in Base 16 — Upper bound on s
There is no (61, 110, 192289)-net in base 16, because
- 1 times m-reduction [i] would yield (61, 109, 192289)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 177460 287363 532908 851973 575434 633316 631973 343878 203312 623720 837205 687923 458554 373951 555026 857295 451913 972742 587286 507285 428716 593916 > 16109 [i]