Best Known (81−26, 81, s)-Nets in Base 4
(81−26, 81, 240)-Net over F4 — Constructive and digital
Digital (55, 81, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 27, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(81−26, 81, 315)-Net over F4 — Digital
Digital (55, 81, 315)-net over F4, using
(81−26, 81, 10645)-Net in Base 4 — Upper bound on s
There is no (55, 81, 10646)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 5 850530 989603 711035 363813 674087 474135 718193 723294 > 481 [i]