Best Known (16, 16+95, s)-Nets in Base 8
(16, 16+95, 65)-Net over F8 — Constructive and digital
Digital (16, 111, 65)-net over F8, using
- t-expansion [i] based on digital (14, 111, 65)-net over F8, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- net from sequence [i] based on digital (14, 64)-sequence over F8, using
(16, 16+95, 133)-Net in Base 8 — Upper bound on s
There is no (16, 111, 134)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(8111, 134, S8, 95), but
- the linear programming bound shows that M ≥ 3213 718744 248367 464211 966828 793200 685277 723323 269317 408810 044111 174024 201867 677763 903619 161246 026196 671187 301423 896682 561536 / 165729 471662 280587 916075 > 8111 [i]