Best Known (62−48, 62, s)-Nets in Base 8
(62−48, 62, 65)-Net over F8 — Constructive and digital
Digital (14, 62, 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
(62−48, 62, 279)-Net in Base 8 — Upper bound on s
There is no (14, 62, 280)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(862, 280, S8, 48), but
- the linear programming bound shows that M ≥ 22 311468 948490 623615 375974 694457 084583 508583 132985 757430 643949 494688 787277 159981 991543 632881 330081 969865 696631 903485 952000 / 226190 974891 313598 947876 224846 856417 191921 662159 887968 173025 738057 > 862 [i]