Best Known (8, 115, s)-Nets in Base 16
(8, 115, 65)-Net over F16 — Constructive and digital
Digital (8, 115, 65)-net over F16, using
- t-expansion [i] based on digital (6, 115, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
(8, 115, 185)-Net in Base 16 — Upper bound on s
There is no (8, 115, 186)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(16115, 186, S16, 107), but
- the linear programming bound shows that M ≥ 800305 110511 833918 923435 362458 845111 263886 748630 773181 280044 701040 727210 218023 822717 024069 192644 361031 758372 528895 845832 863793 001106 051274 213835 422160 414192 394868 115488 321725 172321 091584 / 258813 619532 825805 570510 386789 828439 384170 936209 > 16115 [i]