Best Known (105, 170, s)-Nets in Base 3
(105, 170, 148)-Net over F3 — Constructive and digital
Digital (105, 170, 148)-net over F3, using
- 6 times m-reduction [i] based on digital (105, 176, 148)-net over F3, using
- trace code for nets [i] based on digital (17, 88, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- trace code for nets [i] based on digital (17, 88, 74)-net over F9, using
(105, 170, 185)-Net over F3 — Digital
Digital (105, 170, 185)-net over F3, using
(105, 170, 2085)-Net in Base 3 — Upper bound on s
There is no (105, 170, 2086)-net in base 3, because
- 1 times m-reduction [i] would yield (105, 169, 2086)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 434 373142 903108 224953 921931 973406 609917 451492 578702 755090 751649 499692 765391 814977 > 3169 [i]