Best Known (110, 197, s)-Nets in Base 3
(110, 197, 80)-Net over F3 — Constructive and digital
Digital (110, 197, 80)-net over F3, using
- 7 times m-reduction [i] based on digital (110, 204, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 102, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- trace code for nets [i] based on digital (8, 102, 40)-net over F9, using
(110, 197, 140)-Net over F3 — Digital
Digital (110, 197, 140)-net over F3, using
(110, 197, 1220)-Net in Base 3 — Upper bound on s
There is no (110, 197, 1221)-net in base 3, because
- 1 times m-reduction [i] would yield (110, 196, 1221)-net in base 3, but
- the generalized Rao bound for nets shows that 3m ≥ 3328 247796 759991 074447 317804 481181 412881 444036 322609 528363 484087 989934 533421 675979 971679 764363 > 3196 [i]