Best Known (66, 114, s)-Nets in Base 4
(66, 114, 130)-Net over F4 — Constructive and digital
Digital (66, 114, 130)-net over F4, using
- 6 times m-reduction [i] based on 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
- trace code for nets [i] based on digital (6, 60, 65)-net over F16, using
(66, 114, 154)-Net over F4 — Digital
Digital (66, 114, 154)-net over F4, using
(66, 114, 2346)-Net in Base 4 — Upper bound on s
There is no (66, 114, 2347)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 433 001022 753643 070134 669723 391687 865197 357768 595822 082298 171705 675434 > 4114 [i]