MinT - Best Known (11, 50, s)-Nets in Base 8

Best Known (11, 50, s)-Nets in Base 8

(11, 50, 48)-Net over F₈ — Constructive and digital

Digital (11, 50, 48)-net over F₈, using

net from sequence [i] based on digital (11, 47)-sequence over F₈, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 11 and N(F) ≥ 48, using
  - a function field by SÃ©mirat [i]

(11, 50, 229)-Net in Base 8 — Upper bound on s

There is no (11, 50, 230)-net in base 8, because

extracting embedded orthogonal array [i] would yield OA(8⁵⁰, 230, S₈, 39), but
- the linear programming bound shows that MÂ â‰¥ 1177 250497 185165 941240 798121 373891 812501 351496 061956 039124 370964 702006 301664 927373 485041 428883 046400 / 806672 749849 524568 152457 987040 946409 121157 586172 053657 > 8⁵⁰ [i]