Best Known (21, 59, s)-Nets in Base 3
(21, 59, 32)-Net over F3 — Constructive and digital
Digital (21, 59, 32)-net over F3, using
- net from sequence [i] based on digital (21, 31)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 21 and N(F) ≥ 32, using
(21, 59, 82)-Net in Base 3 — Upper bound on s
There is no (21, 59, 83)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(359, 83, S3, 38), but
- the linear programming bound shows that M ≥ 325 626781 031292 288709 976539 068217 532079 726399 / 18937 606422 109375 > 359 [i]