Best Known (94, 154, s)-Nets in Base 4
(94, 154, 130)-Net over F4 — Constructive and digital
Digital (94, 154, 130)-net over F4, using
- 22 times m-reduction [i] based on digital (94, 176, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 88, 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, 88, 65)-net over F16, using
(94, 154, 255)-Net over F4 — Digital
Digital (94, 154, 255)-net over F4, using
(94, 154, 4921)-Net in Base 4 — Upper bound on s
There is no (94, 154, 4922)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 523 353816 880488 182473 494301 783296 001602 320475 343998 065315 951769 843970 337647 804829 274374 908912 > 4154 [i]