Best Known (35, 35+63, s)-Nets in Base 3
(35, 35+63, 38)-Net over F3 — Constructive and digital
Digital (35, 98, 38)-net over F3, using
- t-expansion [i] based on digital (32, 98, 38)-net over F3, using
- net from sequence [i] based on digital (32, 37)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 32 and N(F) ≥ 38, using
- net from sequence [i] based on digital (32, 37)-sequence over F3, using
(35, 35+63, 47)-Net over F3 — Digital
Digital (35, 98, 47)-net over F3, using
- net from sequence [i] based on digital (35, 46)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 35 and N(F) ≥ 47, using
(35, 35+63, 117)-Net in Base 3 — Upper bound on s
There is no (35, 98, 118)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(398, 118, S3, 63), but
- the linear programming bound shows that M ≥ 17 092936 122857 381663 512269 542942 779115 353556 269094 475855 / 239 257504 > 398 [i]