Best Known (116, 160, s)-Nets in Base 3
(116, 160, 264)-Net over F3 — Constructive and digital
Digital (116, 160, 264)-net over F3, using
- 31 times duplication [i] based on digital (115, 159, 264)-net over F3, using
- trace code for nets [i] based on digital (9, 53, 88)-net over F27, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 9 and N(F) ≥ 88, using
- net from sequence [i] based on digital (9, 87)-sequence over F27, using
- trace code for nets [i] based on digital (9, 53, 88)-net over F27, using
(116, 160, 494)-Net over F3 — Digital
Digital (116, 160, 494)-net over F3, using
(116, 160, 13338)-Net in Base 3 — Upper bound on s
There is no (116, 160, 13339)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 21876 740791 357679 232505 754080 790981 204709 925358 955478 723530 232218 748715 320173 > 3160 [i]