Best Known (59, 59+47, s)-Nets in Base 16
(59, 59+47, 526)-Net over F16 — Constructive and digital
Digital (59, 106, 526)-net over F16, using
- trace code for nets [i] based on digital (6, 53, 263)-net over F256, using
- net from sequence [i] based on digital (6, 262)-sequence over F256, using
(59, 59+47, 736)-Net over F16 — Digital
Digital (59, 106, 736)-net over F16, using
(59, 59+47, 197427)-Net in Base 16 — Upper bound on s
There is no (59, 106, 197428)-net in base 16, because
- 1 times m-reduction [i] would yield (59, 105, 197428)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 2 707944 603736 592125 324764 661735 500405 494785 005134 985071 909678 152116 435318 101222 102137 557224 252987 441574 172240 629305 017661 587336 > 16105 [i]