Best Known (96, 148, s)-Nets in Base 3
(96, 148, 156)-Net over F3 — Constructive and digital
Digital (96, 148, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 74, 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
(96, 148, 211)-Net over F3 — Digital
Digital (96, 148, 211)-net over F3, using
(96, 148, 2717)-Net in Base 3 — Upper bound on s
There is no (96, 148, 2718)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 41369 870813 369082 324683 705658 324183 529776 135041 689242 739750 734538 828653 > 3148 [i]