Best Known (85, 139, s)-Nets in Base 3
(85, 139, 128)-Net over F3 — Constructive and digital
Digital (85, 139, 128)-net over F3, using
- 5 times m-reduction [i] based on digital (85, 144, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 72, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- trace code for nets [i] based on digital (13, 72, 64)-net over F9, using
(85, 139, 149)-Net over F3 — Digital
Digital (85, 139, 149)-net over F3, using
(85, 139, 1535)-Net in Base 3 — Upper bound on s
There is no (85, 139, 1536)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 101700 129413 775370 986383 734201 601521 709141 917447 441963 071872 702465 > 3139 [i]