Best Known (140, 140+42, s)-Nets in Base 4
(140, 140+42, 1040)-Net over F4 — Constructive and digital
Digital (140, 182, 1040)-net over F4, using
- 42 times duplication [i] based on digital (138, 180, 1040)-net over F4, using
- trace code for nets [i] based on digital (3, 45, 260)-net over F256, using
- net from sequence [i] based on digital (3, 259)-sequence over F256, using
- trace code for nets [i] based on digital (3, 45, 260)-net over F256, using
(140, 140+42, 2552)-Net over F4 — Digital
Digital (140, 182, 2552)-net over F4, using
(140, 140+42, 477759)-Net in Base 4 — Upper bound on s
There is no (140, 182, 477760)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 37 577895 569271 013731 743376 884547 978585 229498 568005 492635 003975 443991 847133 227274 226446 409278 104609 385914 820869 > 4182 [i]