Best Known (97−83, 97, s)-Nets in Base 8
(97−83, 97, 65)-Net over F8 — Constructive and digital
Digital (14, 97, 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
(97−83, 97, 127)-Net in Base 8 — Upper bound on s
There is no (14, 97, 128)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(897, 128, S8, 83), but
- the linear programming bound shows that M ≥ 1224 903160 165786 813309 602581 221690 588194 980497 757091 568525 126326 522112 948612 235003 121170 544748 295260 432082 568482 914304 / 293489 837826 200580 655482 122115 > 897 [i]