Best Known (38−25, 38, s)-Nets in Base 3
(38−25, 38, 24)-Net over F3 — Constructive and digital
Digital (13, 38, 24)-net over F3, using
- net from sequence [i] based on digital (13, 23)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 13 and N(F) ≥ 24, using
(38−25, 38, 59)-Net in Base 3 — Upper bound on s
There is no (13, 38, 60)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(338, 60, S3, 25), but
- the linear programming bound shows that M ≥ 103845 619014 931091 288323 648431 / 71402 624384 > 338 [i]