Best Known (161, 161+51, s)-Nets in Base 4
(161, 161+51, 1036)-Net over F4 — Constructive and digital
Digital (161, 212, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 53, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(161, 161+51, 2344)-Net over F4 — Digital
Digital (161, 212, 2344)-net over F4, using
(161, 161+51, 409137)-Net in Base 4 — Upper bound on s
There is no (161, 212, 409138)-net in base 4, because
- 1 times m-reduction [i] would yield (161, 211, 409138)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 10 831053 497027 135572 986238 015931 341923 932002 532165 937195 358524 691325 479948 053208 009447 718148 794696 743955 999186 208667 654152 144484 > 4211 [i]