Best Known (13, 76, s)-Nets in Base 7
(13, 76, 21)-Net over F7 — Constructive and digital
Digital (13, 76, 21)-net over F7, using
- net from sequence [i] based on digital (13, 20)-sequence over F7, using
(13, 76, 48)-Net over F7 — Digital
Digital (13, 76, 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
(13, 76, 135)-Net in Base 7 — Upper bound on s
There is no (13, 76, 136)-net in base 7, because
- extracting embedded orthogonal array [i] would yield OA(776, 136, S7, 63), but
- the linear programming bound shows that M ≥ 56138 514093 475937 409112 552148 373007 920421 016304 906906 712332 035293 271985 117986 825258 801659 941859 889430 740821 479407 300947 647926 753331 029993 426184 899409 294077 811807 028761 783459 843815 875921 / 3 180687 606534 276267 390129 520243 651196 681451 616563 432459 931849 641673 929187 509810 827621 202732 045294 502346 048208 980570 617797 > 776 [i]