Best Known (135, 201, s)-Nets in Base 3
(135, 201, 162)-Net over F3 — Constructive and digital
Digital (135, 201, 162)-net over F3, using
- 5 times m-reduction [i] based on digital (135, 206, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 103, 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, 103, 81)-net over F9, using
(135, 201, 335)-Net over F3 — Digital
Digital (135, 201, 335)-net over F3, using
(135, 201, 5269)-Net in Base 3 — Upper bound on s
There is no (135, 201, 5270)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 799728 060925 675139 363286 983069 479312 505569 774081 104053 849604 095999 928264 861021 191904 965754 900717 > 3201 [i]