Best Known (82, 82+32, s)-Nets in Base 3
(82, 82+32, 228)-Net over F3 — Constructive and digital
Digital (82, 114, 228)-net over F3, using
- trace code for nets [i] based on digital (6, 38, 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
(82, 82+32, 353)-Net over F3 — Digital
Digital (82, 114, 353)-net over F3, using
(82, 82+32, 8515)-Net in Base 3 — Upper bound on s
There is no (82, 114, 8516)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 467499 433522 583142 600135 418053 732989 034840 593095 545985 > 3114 [i]