Best Known (154, 154+68, s)-Nets in Base 3
(154, 154+68, 228)-Net over F3 — Constructive and digital
Digital (154, 222, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 74, 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
(154, 154+68, 455)-Net over F3 — Digital
Digital (154, 222, 455)-net over F3, using
(154, 154+68, 8792)-Net in Base 3 — Upper bound on s
There is no (154, 222, 8793)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 8347 884677 034335 920179 402945 190467 004461 565708 405291 311537 084089 352173 885980 087460 644128 184533 594182 017145 > 3222 [i]