Best Known (132, 132+88, s)-Nets in Base 3
(132, 132+88, 156)-Net over F3 — Constructive and digital
Digital (132, 220, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 110, 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
(132, 132+88, 203)-Net over F3 — Digital
Digital (132, 220, 203)-net over F3, using
(132, 132+88, 2053)-Net in Base 3 — Upper bound on s
There is no (132, 220, 2054)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 938 025581 346433 822055 207892 866820 610791 670188 411571 891812 344836 632802 194684 464247 769608 490121 758834 047897 > 3220 [i]