Best Known (5, 36, s)-Nets in Base 8
(5, 36, 28)-Net over F8 — Constructive and digital
Digital (5, 36, 28)-net over F8, using
- net from sequence [i] based on digital (5, 27)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 28, using
(5, 36, 29)-Net over F8 — Digital
Digital (5, 36, 29)-net over F8, using
- net from sequence [i] based on digital (5, 28)-sequence over F8, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F8 with g(F) = 5 and N(F) ≥ 29, using
(5, 36, 90)-Net in Base 8 — Upper bound on s
There is no (5, 36, 91)-net in base 8, because
- extracting embedded orthogonal array [i] would yield OA(836, 91, S8, 31), but
- the linear programming bound shows that M ≥ 116 084495 895301 326583 123747 276280 662099 349964 469463 777115 878159 548416 / 344740 863755 835563 775440 931654 516071 > 836 [i]