Best Known (76, 140, s)-Nets in Base 4
(76, 140, 130)-Net over F4 — Constructive and digital
Digital (76, 140, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 70, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(76, 140, 140)-Net over F4 — Digital
Digital (76, 140, 140)-net over F4, using
(76, 140, 1809)-Net in Base 4 — Upper bound on s
There is no (76, 140, 1810)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 1 958029 408805 165968 062013 106118 415288 289640 429952 652876 099019 388429 722196 395584 402200 > 4140 [i]