Best Known (132−34, 132, s)-Nets in Base 3
(132−34, 132, 282)-Net over F3 — Constructive and digital
Digital (98, 132, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 44, 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
(132−34, 132, 547)-Net over F3 — Digital
Digital (98, 132, 547)-net over F3, using
(132−34, 132, 18164)-Net in Base 3 — Upper bound on s
There is no (98, 132, 18165)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 955 309158 051653 848838 481480 697216 738793 309082 058705 363993 040811 > 3132 [i]