Best Known (6, 6+26, s)-Nets in Base 7
(6, 6+26, 14)-Net over F7 — Constructive and digital
Digital (6, 32, 14)-net over F7, using
- net from sequence [i] based on digital (6, 13)-sequence over F7, using
(6, 6+26, 24)-Net over F7 — Digital
Digital (6, 32, 24)-net over F7, using
- t-expansion [i] based on digital (4, 32, 24)-net over F7, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 4 and N(F) ≥ 24, using
- net from sequence [i] based on digital (4, 23)-sequence over F7, using
(6, 6+26, 105)-Net in Base 7 — Upper bound on s
There is no (6, 32, 106)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 1149 048226 697462 652958 409509 > 732 [i]
- extracting embedded orthogonal array [i] would yield OA(732, 106, S7, 26), but
- the linear programming bound shows that M ≥ 130789 584708 628785 701874 144733 917823 623274 123528 118400 / 114 964163 043367 900782 818009 > 732 [i]