Best Known (15, 87, s)-Nets in Base 7
(15, 87, 23)-Net over F7 — Constructive and digital
Digital (15, 87, 23)-net over F7, using
- net from sequence [i] based on digital (15, 22)-sequence over F7, using
(15, 87, 48)-Net over F7 — Digital
Digital (15, 87, 48)-net over F7, using
- t-expansion [i] based on digital (13, 87, 48)-net over F7, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F7 with g(F) = 13 and N(F) ≥ 48, using
- net from sequence [i] based on digital (13, 47)-sequence over F7, using
(15, 87, 143)-Net in Base 7 — Upper bound on s
There is no (15, 87, 144)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(787, 144, S7, 72), but
- the linear programming bound shows that M ≥ 1 412803 858905 000890 772597 772916 389591 482408 944743 760392 600845 998661 550134 911809 959756 263758 190961 297772 553607 198737 485657 720019 969452 205825 625975 647069 401934 429657 702737 952302 658279 / 40356 968537 127526 952256 669288 972629 585957 333455 907942 860509 421417 578601 809660 963551 091070 091904 115093 594895 > 787 [i]