Best Known (125, 183, s)-Nets in Base 3
(125, 183, 162)-Net over F3 — Constructive and digital
Digital (125, 183, 162)-net over F3, using
- 3 times m-reduction [i] based on digital (125, 186, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 93, 81)-net over F9, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- F4 from the tower of function fields by Bezerra and GarcÃa over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 32 and N(F) ≥ 81, using
- net from sequence [i] based on digital (32, 80)-sequence over F9, using
- trace code for nets [i] based on digital (32, 93, 81)-net over F9, using
(125, 183, 346)-Net over F3 — Digital
Digital (125, 183, 346)-net over F3, using
(125, 183, 5954)-Net in Base 3 — Upper bound on s
There is no (125, 183, 5955)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2064 978381 110003 128609 902755 017577 894637 171468 692976 635372 938834 959399 577636 486670 424719 > 3183 [i]