Best Known (31−29, 31, s)-Nets in Base 16
(31−29, 31, 33)-Net over F16 — Constructive and digital
Digital (2, 31, 33)-net over F16, using
- net from sequence [i] based on digital (2, 32)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, using
(31−29, 31, 113)-Net in Base 16 — Upper bound on s
There is no (2, 31, 114)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1631, 114, S16, 29), but
- the linear programming bound shows that M ≥ 1125 950530 490710 095022 334298 172705 444031 186023 219200 / 51 812052 954721 > 1631 [i]