Best Known (68, 68+20, s)-Nets in Base 4
(68, 68+20, 1036)-Net over F4 — Constructive and digital
Digital (68, 88, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 22, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(68, 68+20, 1633)-Net over F4 — Digital
Digital (68, 88, 1633)-net over F4, using
(68, 68+20, 299896)-Net in Base 4 — Upper bound on s
There is no (68, 88, 299897)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 95782 057780 466523 818428 745089 597437 287467 125746 982376 > 488 [i]