MinT - Best Known (22, 96, s)-Nets in Base 5

Best Known (22, 96, s)-Nets in Base 5

(22, 96, 51)-Net over F₅ — Constructive and digital

Digital (22, 96, 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, 96, 121)-Net in Base 5 — Upper bound on s

There is no (22, 96, 122)-net in base 5, because

extracting embedded orthogonal array [i] would yield OA(5⁹⁶, 122, S₅, 74), but
- the linear programming bound shows that MÂ â‰¥ 1 821427 988372 069228 180461 204953 379564 954840 490187 404355 992839 555256 068706 512451 171875 / 123989 947668 612387 > 5⁹⁶ [i]