Best Known (193, 193+59, s)-Nets in Base 4
(193, 193+59, 1044)-Net over F4 — Constructive and digital
Digital (193, 252, 1044)-net over F4, using
- trace code for nets [i] based on digital (4, 63, 261)-net over F256, using
- net from sequence [i] based on digital (4, 260)-sequence over F256, using
(193, 193+59, 3119)-Net over F4 — Digital
Digital (193, 252, 3119)-net over F4, using
(193, 193+59, 632291)-Net in Base 4 — Upper bound on s
There is no (193, 252, 632292)-net in base 4, because
- 1 times m-reduction [i] would yield (193, 251, 632292)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 13 093684 944931 665319 947982 294537 628976 346760 060522 699312 961593 950884 760316 062947 789318 897130 788325 211572 570020 129226 471118 289396 393226 791249 669264 410008 > 4251 [i]