MinT - Best Known (95−82, 95, s)-Nets in Base 32

Best Known (95−82, 95, s)-Nets in Base 32

(95−82, 95, 120)-Net over F₃₂ — Constructive and digital

Digital (13, 95, 120)-net over F₃₂, using

t-expansion [i] based on digital (11, 95, 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]

(95−82, 95, 129)-Net over F₃₂ — Digital

Digital (13, 95, 129)-net over F₃₂, using

t-expansion [i] based on digital (12, 95, 129)-net over F₃₂, using
- net from sequence [i] based on digital (12, 128)-sequence over F₃₂, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₃₂ with g(F) = 12 and N(F) ≥ 129, using
    - a curve from the manYPoints database [i]

(95−82, 95, 1578)-Net in Base 32 — Upper bound on s

There is no (13, 95, 1579)-net in base 32, because

the generalized Rao bound for nets shows that 32^mÂ â‰¥ 98454 242516 320662 024373 577158 609809 470482 632181 658912 086314 775328 056457 507747 947742 455176 495197 968822 071345 497199 960749 634922 681005 053749 689750 > 32⁹⁵ [i]