Best Known (234−56, 234, s)-Nets in Base 4
(234−56, 234, 1036)-Net over F4 — Constructive and digital
Digital (178, 234, 1036)-net over F4, using
- 42 times duplication [i] based on digital (176, 232, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 58, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- trace code for nets [i] based on digital (2, 58, 259)-net over F256, using
(234−56, 234, 2619)-Net over F4 — Digital
Digital (178, 234, 2619)-net over F4, using
(234−56, 234, 404911)-Net in Base 4 — Upper bound on s
There is no (178, 234, 404912)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 762 145937 418967 997648 156094 148002 293095 461915 405344 288989 283578 178094 045510 871268 117318 265094 142985 802023 242884 144740 341913 792417 605610 791086 > 4234 [i]