Best Known (17, 17+48, s)-Nets in Base 5
(17, 17+48, 42)-Net over F5 — Constructive and digital
Digital (17, 65, 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
(17, 17+48, 155)-Net in Base 5 — Upper bound on s
There is no (17, 65, 156)-net in base 5, because
- extracting embedded orthogonal array [i] would yield OA(565, 156, S5, 48), but
- the linear programming bound shows that M ≥ 18861 654871 285559 371995 814165 186658 180449 691792 794094 054917 214263 505730 955071 093589 699678 272706 309868 275303 566032 645484 220959 133097 995315 479777 911349 401620 100252 330303 192138 671875 000000 / 6 759152 590216 249752 983076 647776 200152 239297 692683 963504 907649 451692 364792 434116 001124 294019 021106 576949 960803 605470 563111 074536 927081 464259 > 565 [i]