MinT - Best Known (22, 22+86, s)-Nets in Base 32

Best Known (22, 22+86, s)-Nets in Base 32

(22, 22+86, 120)-Net over F₃₂ — Constructive and digital

Digital (22, 108, 120)-net over F₃₂, using

t-expansion [i] based on digital (11, 108, 120)-net over F₃₂, using
- net from sequence [i] based on digital (11, 119)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 11 and N(F) ≥ 120, using
    - a function field by SÃ©mirat [i]

(22, 22+86, 185)-Net over F₃₂ — Digital

Digital (22, 108, 185)-net over F₃₂, using

t-expansion [i] based on digital (21, 108, 185)-net over F₃₂, using
- net from sequence [i] based on digital (21, 184)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 21 and N(F) ≥ 185, using
    - a curve from the manYPoints database [i]

(22, 22+86, 3262)-Net in Base 32 — Upper bound on s

There is no (22, 108, 3263)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 3 634483 267602 744377 268405 418118 687736 913439 988326 673795 378453 482276 304522 943043 727909 464209 535720 909743 707734 688364 731593 293232 225413 091527 957792 631355 478155 674868 > 32¹⁰⁸ [i]