Best Known (199−84, 199, s)-Nets in Base 3
(199−84, 199, 128)-Net over F3 — Constructive and digital
Digital (115, 199, 128)-net over F3, using
- 5 times m-reduction [i] based on digital (115, 204, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 102, 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, 102, 64)-net over F9, using
(199−84, 199, 160)-Net over F3 — Digital
Digital (115, 199, 160)-net over F3, using
(199−84, 199, 1463)-Net in Base 3 — Upper bound on s
There is no (115, 199, 1464)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 89633 946052 948859 974173 969745 437000 769632 704218 447866 735422 359486 736813 718142 791160 573490 264913 > 3199 [i]