Best Known (77, 77+34, s)-Nets in Base 3
(77, 77+34, 156)-Net over F3 — Constructive and digital
Digital (77, 111, 156)-net over F3, using
- trace code for nets [i] based on digital (3, 37, 52)-net over F27, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 3 and N(F) ≥ 52, using
- net from sequence [i] based on digital (3, 51)-sequence over F27, using
(77, 77+34, 255)-Net over F3 — Digital
Digital (77, 111, 255)-net over F3, using
(77, 77+34, 4663)-Net in Base 3 — Upper bound on s
There is no (77, 111, 4664)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 91489 511181 459716 124478 790715 125403 229815 258291 660657 > 3111 [i]