MinT - Best Known (2, 2+24, s)-Nets in Base 16

Best Known (2, 2+24, s)-Nets in Base 16

(2, 2+24, 33)-Net over F₁₆ — Constructive and digital

Digital (2, 26, 33)-net over F₁₆, using

net from sequence [i] based on digital (2, 32)-sequence over F₁₆, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
  - a function field by SÃ©mirat [i]

(2, 2+24, 119)-Net in Base 16 — Upper bound on s

There is no (2, 26, 120)-net in base 16, because

extracting embedded orthogonal array [i] would yield OA(16²⁶, 120, S₁₆, 24), but
- the linear programming bound shows that MÂ â‰¥ 27 141204 488245 425719 257779 664973 266067 390464 / 1 300441 823179 > 16²⁶ [i]