Best Known (116, 206, s)-Nets in Base 3
(116, 206, 128)-Net over F3 — Constructive and digital
Digital (116, 206, 128)-net over F3, using
- trace code for nets [i] based on digital (13, 103, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
(116, 206, 150)-Net over F3 — Digital
Digital (116, 206, 150)-net over F3, using
(116, 206, 1302)-Net in Base 3 — Upper bound on s
There is no (116, 206, 1303)-net in base 3, because
- the generalized Rao bound for nets shows that 3m ≥ 194 353473 810277 162220 269653 169969 088953 604051 919229 525161 825318 048177 235211 567465 867336 000406 611607 > 3206 [i]