Best Known (13, 13+50, s)-Nets in Base 9
(13, 13+50, 64)-Net over F9 — Constructive and digital
Digital (13, 63, 64)-net over F9, using
- net from sequence [i] based on digital (13, 63)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
(13, 13+50, 298)-Net in Base 9 — Upper bound on s
There is no (13, 63, 299)-net in base 9, because
- extracting embedded orthogonal array [i] would yield OA(963, 299, S9, 50), but
- the linear programming bound shows that M ≥ 10896 368310 901335 925878 885280 116060 856812 371650 402546 237637 731697 987582 281864 562263 286258 703283 319093 742959 047667 053474 566820 640625 / 8046 812733 958111 355218 192223 319952 526390 284250 015285 581584 155118 260761 > 963 [i]