Best Known (120−54, 120, s)-Nets in Base 4
(120−54, 120, 130)-Net over F4 — Constructive and digital
Digital (66, 120, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 60, 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
(120−54, 120, 1704)-Net in Base 4 — Upper bound on s
There is no (66, 120, 1705)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 1 784252 976210 573384 790338 552865 623216 832876 132896 485331 442534 744770 143968 > 4120 [i]