Best Known (58, 104, s)-Nets in Base 4
(58, 104, 130)-Net over F4 — Constructive and digital
Digital (58, 104, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 52, 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
(58, 104, 1639)-Net in Base 4 — Upper bound on s
There is no (58, 104, 1640)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 412 352655 524092 173912 559281 196706 450363 022687 657537 272676 032086 > 4104 [i]