Best Known (80, 116, s)-Nets in Base 3
(80, 116, 156)-Net over F3 — Constructive and digital
Digital (80, 116, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 58, 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
(80, 116, 253)-Net over F3 — Digital
Digital (80, 116, 253)-net over F3, using
(80, 116, 4468)-Net in Base 3 — Upper bound on s
There is no (80, 116, 4469)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 22 206868 075956 428818 545548 075248 598172 040633 948945 474545 > 3116 [i]