Best Known (204−49, 204, s)-Nets in Base 4
(204−49, 204, 1036)-Net over F4 — Constructive and digital
Digital (155, 204, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 51, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(204−49, 204, 2285)-Net over F4 — Digital
Digital (155, 204, 2285)-net over F4, using
(204−49, 204, 404244)-Net in Base 4 — Upper bound on s
There is no (155, 204, 404245)-net in base 4, because
- 1 times m-reduction [i] would yield (155, 203, 404245)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 165 264272 748479 237777 739519 068143 210133 955689 290298 777800 326907 556905 709177 280048 395108 754030 860451 296583 828170 132606 759584 > 4203 [i]