Best Known (56, 56+41, s)-Nets in Base 16
(56, 56+41, 528)-Net over F16 — Constructive and digital
Digital (56, 97, 528)-net over F16, using
- 1 times m-reduction [i] based on digital (56, 98, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 49, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
- trace code for nets [i] based on digital (7, 49, 264)-net over F256, using
(56, 56+41, 894)-Net over F16 — Digital
Digital (56, 97, 894)-net over F16, using
(56, 56+41, 333408)-Net in Base 16 — Upper bound on s
There is no (56, 97, 333409)-net in base 16, because
- 1 times m-reduction [i] would yield (56, 96, 333409)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 39 402988 638065 161225 188960 521790 640171 355559 660016 835349 443993 518395 119738 164199 511910 114730 788710 925348 462693 699576 > 1696 [i]