Best Known (96−82, 96, s)-Nets in Base 8
(96−82, 96, 65)-Net over F8 — Constructive and digital
Digital (14, 96, 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
(96−82, 96, 133)-Net in Base 8 — Upper bound on s
There is no (14, 96, 134)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(896, 134, S8, 82), but
- the linear programming bound shows that M ≥ 398 148577 597378 398777 407773 956617 609507 399176 620071 202728 554913 665064 473203 393450 450351 309433 373469 296897 214691 590958 903634 931589 578752 / 746801 509138 751472 403053 244586 078461 473054 485739 > 896 [i]