Best Known (137, 137+34, s)-Nets in Base 4
(137, 137+34, 1064)-Net over F4 — Constructive and digital
Digital (137, 171, 1064)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (14, 31, 32)-net over F4, using
- 1 times m-reduction [i] based on digital (14, 32, 32)-net over F4, using
- digital (106, 140, 1032)-net over F4, using
- trace code for nets [i] based on digital (1, 35, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- trace code for nets [i] based on digital (1, 35, 258)-net over F256, using
- digital (14, 31, 32)-net over F4, using
(137, 137+34, 5797)-Net over F4 — Digital
Digital (137, 171, 5797)-net over F4, using
(137, 137+34, 2721679)-Net in Base 4 — Upper bound on s
There is no (137, 171, 2721680)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 8 959008 341628 151484 670932 072111 333320 496266 848824 499297 376423 246730 618510 586952 737113 779003 167488 908024 > 4171 [i]