Best Known (123, 177, s)-Nets in Base 3
(123, 177, 204)-Net over F3 — Constructive and digital
Digital (123, 177, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 59, 68)-net over F27, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- net from sequence [i] based on digital (5, 67)-sequence over F27, using
(123, 177, 378)-Net over F3 — Digital
Digital (123, 177, 378)-net over F3, using
(123, 177, 7304)-Net in Base 3 — Upper bound on s
There is no (123, 177, 7305)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 824683 712827 975348 392045 021608 738280 367097 998189 312688 290188 463296 461478 002316 824347 > 3177 [i]