Best Known (132, 132+54, s)-Nets in Base 3
(132, 132+54, 252)-Net over F3 — Constructive and digital
Digital (132, 186, 252)-net over F3, using
- trace code for nets [i] based on digital (8, 62, 84)-net over F27, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 8 and N(F) ≥ 84, using
- net from sequence [i] based on digital (8, 83)-sequence over F27, using
(132, 132+54, 463)-Net over F3 — Digital
Digital (132, 186, 463)-net over F3, using
(132, 132+54, 10546)-Net in Base 3 — Upper bound on s
There is no (132, 186, 10547)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 55552 437931 588680 329213 459928 750185 493658 201314 673158 828276 005249 235138 959092 427459 533755 > 3186 [i]