Best Known (128−57, 128, s)-Nets in Base 16
(128−57, 128, 528)-Net over F16 — Constructive and digital
Digital (71, 128, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 64, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(128−57, 128, 831)-Net over F16 — Digital
Digital (71, 128, 831)-net over F16, using
(128−57, 128, 217985)-Net in Base 16 — Upper bound on s
There is no (71, 128, 217986)-net in base 16, because
- 1 times m-reduction [i] would yield (71, 127, 217986)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 838 054901 898486 801384 423284 858348 569112 642319 708790 179748 799092 835495 156363 997175 776363 887958 031851 898946 143126 881712 988949 640481 476706 113936 546613 843296 > 16127 [i]