Best Known (13, 13+26, s)-Nets in Base 3
(13, 13+26, 24)-Net over F3 — Constructive and digital
Digital (13, 39, 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
(13, 13+26, 54)-Net in Base 3 — Upper bound on s
There is no (13, 39, 55)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(339, 55, S3, 26), but
- the linear programming bound shows that M ≥ 146 832295 828282 985656 255743 / 32 677549 > 339 [i]