MinT - Best Known (22, 22+73, s)-Nets in Base 5

Best Known (22, 22+73, s)-Nets in Base 5

(22, 22+73, 51)-Net over F₅ — Constructive and digital

Digital (22, 95, 51)-net over F₅, using

net from sequence [i] based on digital (22, 50)-sequence over F₅, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₅ with g(F) = 22 and N(F) ≥ 51, using
  - an explicitly constructive algebraic function field [i]

(22, 22+73, 125)-Net in Base 5 — Upper bound on s

There is no (22, 95, 126)-net in base 5, because

extracting embedded orthogonal array [i] would yield OA(5⁹⁵, 126, S₅, 73), but
- the linear programming bound shows that MÂ â‰¥ 415 208669 830305 309513 825947 274368 812364 451282 632960 005258 837554 720230 400562 286376 953125 / 120 898318 529231 013888 > 5⁹⁵ [i]