Best Known (152, 152+48, s)-Nets in Base 3
(152, 152+48, 464)-Net over F3 — Constructive and digital
Digital (152, 200, 464)-net over F3, using
- trace code for nets [i] based on digital (2, 50, 116)-net over F81, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- net from sequence [i] based on digital (2, 115)-sequence over F81, using
(152, 152+48, 1003)-Net over F3 — Digital
Digital (152, 200, 1003)-net over F3, using
(152, 152+48, 46357)-Net in Base 3 — Upper bound on s
There is no (152, 200, 46358)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 265636 691687 306945 308495 330282 293608 616926 877050 296528 112683 521161 738065 902521 991348 637557 359473 > 3200 [i]