Best Known (125, 201, s)-Nets in Base 3
(125, 201, 156)-Net over F3 — Constructive and digital
Digital (125, 201, 156)-net over F3, using
- 5 times m-reduction [i] based on digital (125, 206, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 103, 78)-net over F9, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- F3 from the tower of function fields by GarcÃa and Stichtenoth over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 22 and N(F) ≥ 78, using
- net from sequence [i] based on digital (22, 77)-sequence over F9, using
- trace code for nets [i] based on digital (22, 103, 78)-net over F9, using
(125, 201, 221)-Net over F3 — Digital
Digital (125, 201, 221)-net over F3, using
(125, 201, 2471)-Net in Base 3 — Upper bound on s
There is no (125, 201, 2472)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 800583 305088 200103 998475 257866 253361 673911 624720 330860 009886 055609 161394 864613 004293 342621 522929 > 3201 [i]