Best Known (73−56, 73, s)-Nets in Base 5
(73−56, 73, 42)-Net over F5 — Constructive and digital
Digital (17, 73, 42)-net over F5, using
- net from sequence [i] based on digital (17, 41)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using
(73−56, 73, 112)-Net in Base 5 — Upper bound on s
There is no (17, 73, 113)-net in base 5, because
- extracting embedded orthogonal array [i] would yield OA(573, 113, S5, 56), but
- the linear programming bound shows that M ≥ 337811 585954 403046 973013 511278 094593 172405 927467 629325 054352 361357 157263 910266 919992 864131 927490 234375 / 295 619144 563353 071093 742262 323377 673476 554685 952918 > 573 [i]