Best Known (98, 152, s)-Nets in Base 3
(98, 152, 156)-Net over F3 — Constructive and digital
Digital (98, 152, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 76, 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
(98, 152, 208)-Net over F3 — Digital
Digital (98, 152, 208)-net over F3, using
(98, 152, 2624)-Net in Base 3 — Upper bound on s
There is no (98, 152, 2625)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 3 346679 957640 732574 356908 062541 260895 877832 509672 279601 324026 944274 087611 > 3152 [i]