Best Known (94, 94+82, s)-Nets in Base 4
(94, 94+82, 130)-Net over F4 — Constructive and digital
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
(94, 94+82, 160)-Net over F4 — Digital
Digital (94, 176, 160)-net over F4, using
(94, 94+82, 2033)-Net in Base 4 — Upper bound on s
There is no (94, 176, 2034)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 9342 219520 176687 081866 757272 766815 352734 528860 088522 025086 547967 164828 642856 759147 856232 319904 850796 111138 > 4176 [i]