Best Known (102, 160, s)-Nets in Base 3
(102, 160, 156)-Net over F3 — Constructive and digital
Digital (102, 160, 156)-net over F3, using
- trace code for nets [i] based on digital (22, 80, 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
(102, 160, 205)-Net over F3 — Digital
Digital (102, 160, 205)-net over F3, using
(102, 160, 2474)-Net in Base 3 — Upper bound on s
There is no (102, 160, 2475)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 21904 502993 265507 563498 536857 950933 122425 266178 131972 948302 316211 585300 575519 > 3160 [i]