Best Known (88, 132, s)-Nets in Base 3
(88, 132, 156)-Net over F3 — Constructive and digital
Digital (88, 132, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 66, 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
(88, 132, 225)-Net over F3 — Digital
Digital (88, 132, 225)-net over F3, using
(88, 132, 3278)-Net in Base 3 — Upper bound on s
There is no (88, 132, 3279)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 956 045419 641319 644142 753709 227661 983112 329635 201507 385075 167477 > 3132 [i]