Best Known (61, 61+51, s)-Nets in Base 16
(61, 61+51, 524)-Net over F16 — Constructive and digital
Digital (61, 112, 524)-net over F16, using
- trace code for nets [i] based on digital (5, 56, 262)-net over F256, using
- net from sequence [i] based on digital (5, 261)-sequence over F256, using
(61, 61+51, 657)-Net over F16 — Digital
Digital (61, 112, 657)-net over F16, using
(61, 61+51, 150587)-Net in Base 16 — Upper bound on s
There is no (61, 112, 150588)-net in base 16, because
- 1 times m-reduction [i] would yield (61, 111, 150588)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 45 433921 944843 723651 634389 749166 760768 278432 006837 224804 353550 372790 847925 698700 861194 964811 369368 551111 352769 623708 439430 878905 144251 > 16111 [i]