Best Known (24−21, 24, s)-Nets in Base 9
(24−21, 24, 28)-Net over F9 — Constructive and digital
Digital (3, 24, 28)-net over F9, using
- net from sequence [i] based on digital (3, 27)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
- the Hermitian function field over F9 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 3 and N(F) ≥ 28, using
(24−21, 24, 81)-Net in Base 9 — Upper bound on s
There is no (3, 24, 82)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(924, 82, S9, 21), but
- the linear programming bound shows that M ≥ 18 321661 500518 438117 741129 285010 577005 / 223 756361 307862 > 924 [i]