Best Known (125, 125+39, s)-Nets in Base 4
(125, 125+39, 1036)-Net over F4 — Constructive and digital
Digital (125, 164, 1036)-net over F4, using
- trace code for nets [i] based on digital (2, 41, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
(125, 125+39, 2005)-Net over F4 — Digital
Digital (125, 164, 2005)-net over F4, using
(125, 125+39, 386471)-Net in Base 4 — Upper bound on s
There is no (125, 164, 386472)-net in base 4, because
- 1 times m-reduction [i] would yield (125, 163, 386472)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 136 703378 657407 386643 603934 537561 762307 509003 453573 911528 232980 815047 881977 283902 144992 837992 480654 > 4163 [i]