Best Known (216−62, 216, s)-Nets in Base 3
(216−62, 216, 282)-Net over F3 — Constructive and digital
Digital (154, 216, 282)-net over F3, using
- trace code for nets [i] based on digital (10, 72, 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
(216−62, 216, 547)-Net over F3 — Digital
Digital (154, 216, 547)-net over F3, using
(216−62, 216, 13075)-Net in Base 3 — Upper bound on s
There is no (154, 216, 13076)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 454242 042995 856825 060380 264762 398179 971651 097900 553561 681095 069677 512912 713436 656605 844046 832223 894641 > 3216 [i]