Best Known (162−44, 162, s)-Nets in Base 3
(162−44, 162, 282)-Net over F3 — Constructive and digital
Digital (118, 162, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 54, 94)-net over F27, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 10 and N(F) ≥ 94, using
- net from sequence [i] based on digital (10, 93)-sequence over F27, using
(162−44, 162, 522)-Net over F3 — Digital
Digital (118, 162, 522)-net over F3, using
(162−44, 162, 14741)-Net in Base 3 — Upper bound on s
There is no (118, 162, 14742)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 196811 316678 016763 319292 534512 434966 418836 313935 830154 486169 112210 404923 202133 > 3162 [i]