Best Known (96, 96+84, s)-Nets in Base 4
(96, 96+84, 130)-Net over F4 — Constructive and digital
Digital (96, 180, 130)-net over F4, using
- trace code for nets [i] based on digital (6, 90, 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
(96, 96+84, 163)-Net over F4 — Digital
Digital (96, 180, 163)-net over F4, using
(96, 96+84, 2059)-Net in Base 4 — Upper bound on s
There is no (96, 180, 2060)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2 370880 225918 465590 754913 251222 317657 678904 939602 778494 818270 303023 940394 738377 732193 919497 016500 129738 195520 > 4180 [i]