Best Known (16, 60, s)-Nets in Base 4
(16, 60, 33)-Net over F4 — Constructive and digital
Digital (16, 60, 33)-net over F4, using
- t-expansion [i] based on digital (15, 60, 33)-net over F4, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 15 and N(F) ≥ 33, using
- net from sequence [i] based on digital (15, 32)-sequence over F4, using
(16, 60, 36)-Net over F4 — Digital
Digital (16, 60, 36)-net over F4, using
- net from sequence [i] based on digital (16, 35)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 16 and N(F) ≥ 36, using
(16, 60, 80)-Net in Base 4 — Upper bound on s
There is no (16, 60, 81)-net in base 4, because
- extracting embedded orthogonal array [i] would yield OA(460, 81, S4, 44), but
- the linear programming bound shows that M ≥ 278 016363 629983 093645 810481 419845 575227 299067 854848 / 143 941903 015625 > 460 [i]