Best Known (152, 152+88, s)-Nets in Base 3
(152, 152+88, 162)-Net over F3 — Constructive and digital
Digital (152, 240, 162)-net over F3, using
- trace code for nets [i] based on digital (32, 120, 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
(152, 152+88, 282)-Net over F3 — Digital
Digital (152, 240, 282)-net over F3, using
(152, 152+88, 3411)-Net in Base 3 — Upper bound on s
There is no (152, 240, 3412)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 265460 467818 317846 669175 636797 740919 923728 795226 519751 964990 257658 993755 370510 312110 095043 311854 300575 520016 448385 > 3240 [i]