Best Known (14, 62, s)-Nets in Base 5
(14, 62, 35)-Net over F5 — Constructive and digital
Digital (14, 62, 35)-net over F5, using
- net from sequence [i] based on digital (14, 34)-sequence over F5, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F5 with g(F) = 11, N(F) = 32, and 3 places with degree 2 [i] based on function field F/F5 with g(F) = 11 and N(F) ≥ 32, using an explicitly constructive algebraic function field [i]
(14, 62, 39)-Net over F5 — Digital
Digital (14, 62, 39)-net over F5, using
- net from sequence [i] based on digital (14, 38)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 14 and N(F) ≥ 39, using
(14, 62, 96)-Net in Base 5 — Upper bound on s
There is no (14, 62, 97)-net in base 5, because
- extracting embedded orthogonal array [i] would yield OA(562, 97, S5, 48), but
- the linear programming bound shows that M ≥ 2 781149 022438 186666 495807 142090 526957 629859 072795 852625 858969 986438 751220 703125 / 125742 022959 202369 897690 816024 319829 > 562 [i]