Best Known (79, 79+32, s)-Nets in Base 3
(79, 79+32, 204)-Net over F3 — Constructive and digital
Digital (79, 111, 204)-net over F3, using
- trace code for nets [i] based on digital (5, 37, 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
(79, 79+32, 314)-Net over F3 — Digital
Digital (79, 111, 314)-net over F3, using
(79, 79+32, 6927)-Net in Base 3 — Upper bound on s
There is no (79, 111, 6928)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 91432 561918 792497 271428 992788 654953 687910 343332 041729 > 3111 [i]