Best Known (162, 234, s)-Nets in Base 3
(162, 234, 228)-Net over F3 — Constructive and digital
Digital (162, 234, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 78, 76)-net over F27, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 6 and N(F) ≥ 76, using
- net from sequence [i] based on digital (6, 75)-sequence over F27, using
(162, 234, 470)-Net over F3 — Digital
Digital (162, 234, 470)-net over F3, using
(162, 234, 8980)-Net in Base 3 — Upper bound on s
There is no (162, 234, 8981)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 4444 380249 422022 996523 113242 364848 621896 826490 221462 608025 751982 213841 422455 176089 912052 172871 645534 885323 084113 > 3234 [i]