Best Known (116, 116+100, s)-Nets in Base 3
(116, 116+100, 80)-Net over F3 — Constructive and digital
Digital (116, 216, 80)-net over F3, using
- trace code for nets [i] based on digital (8, 108, 40)-net over F9, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- net from sequence [i] based on digital (8, 39)-sequence over F9, using
(116, 116+100, 133)-Net over F3 — Digital
Digital (116, 216, 133)-net over F3, using
(116, 116+100, 1072)-Net in Base 3 — Upper bound on s
There is no (116, 216, 1073)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 11 495471 261143 556729 322538 122805 776184 380192 815605 474820 101830 995487 385737 485673 887201 939820 243802 182057 > 3216 [i]