Best Known (103, 185, s)-Nets in Base 3
(103, 185, 80)-Net over F3 — Constructive and digital
Digital (103, 185, 80)-net over F3, using
- 5 times m-reduction [i] based on digital (103, 190, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 95, 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, 95, 40)-net over F9, using
(103, 185, 131)-Net over F3 — Digital
Digital (103, 185, 131)-net over F3, using
(103, 185, 1107)-Net in Base 3 — Upper bound on s
There is no (103, 185, 1108)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 18797 486740 084677 405303 129529 413222 000916 410363 602434 500666 745598 587521 777263 562186 173097 > 3185 [i]