Best Known (25, 25+44, s)-Nets in Base 3
(25, 25+44, 32)-Net over F3 — Constructive and digital
Digital (25, 69, 32)-net over F3, using
- t-expansion [i] based on digital (21, 69, 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
- net from sequence [i] based on digital (21, 31)-sequence over F3, using
(25, 25+44, 36)-Net over F3 — Digital
Digital (25, 69, 36)-net over F3, using
- net from sequence [i] based on digital (25, 35)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 25 and N(F) ≥ 36, using
(25, 25+44, 95)-Net in Base 3 — Upper bound on s
There is no (25, 69, 96)-net in base 3, because
- extracting embedded orthogonal array [i] would yield OA(369, 96, S3, 44), but
- the linear programming bound shows that M ≥ 11 111137 980760 260835 033973 550527 613477 874551 825933 / 12401 847027 543181 > 369 [i]