Best Known (193, 193+63, s)-Nets in Base 4
(193, 193+63, 1032)-Net over F4 — Constructive and digital
Digital (193, 256, 1032)-net over F4, using
- trace code for nets [i] based on digital (1, 64, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(193, 193+63, 2473)-Net over F4 — Digital
Digital (193, 256, 2473)-net over F4, using
(193, 193+63, 370946)-Net in Base 4 — Upper bound on s
There is no (193, 256, 370947)-net in base 4, because
- 1 times m-reduction [i] would yield (193, 255, 370947)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 3352 156415 374590 100731 717191 763909 640820 718997 091198 870976 305973 517154 834598 084620 779958 272192 371617 648146 882466 109701 410695 540375 165715 591400 177582 433280 > 4255 [i]