Best Known (116−52, 116, s)-Nets in Base 4
(116−52, 116, 130)-Net over F4 — Constructive and digital
Digital (64, 116, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 58, 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
(116−52, 116, 1686)-Net in Base 4 — Upper bound on s
There is no (64, 116, 1687)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 6992 884258 548714 729521 330734 933339 375513 044930 252743 753499 798647 076880 > 4116 [i]