Best Known (114−34, 114, s)-Nets in Base 3
(114−34, 114, 192)-Net over F3 — Constructive and digital
Digital (80, 114, 192)-net over F3, using
- trace code for nets [i] based on digital (4, 38, 64)-net over F27, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F27 with g(F) = 4 and N(F) ≥ 64, using
- net from sequence [i] based on digital (4, 63)-sequence over F27, using
(114−34, 114, 285)-Net over F3 — Digital
Digital (80, 114, 285)-net over F3, using
(114−34, 114, 5664)-Net in Base 3 — Upper bound on s
There is no (80, 114, 5665)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 2 467667 065853 777694 976871 089403 550462 209851 298396 855811 > 3114 [i]