MinT - Best Known (95, 207, s)-Nets in Base 4

Best Known (95, 207, s)-Nets in Base 4

(95, 207, 104)-Net over F₄ — Constructive and digital

Digital (95, 207, 104)-net over F₄, using

t-expansion [i] based on digital (73, 207, 104)-net over F₄, using
- net from sequence [i] based on digital (73, 103)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 73 and N(F) ≥ 104, using
    - F₆ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

(95, 207, 144)-Net over F₄ — Digital

Digital (95, 207, 144)-net over F₄, using

t-expansion [i] based on digital (91, 207, 144)-net over F₄, using
- net from sequence [i] based on digital (91, 143)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 91 and N(F) ≥ 144, using
    - Drinfeld modules of rank 1 [i]

(95, 207, 1170)-Net in Base 4 — Upper bound on s

There is no (95, 207, 1171)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 42993 297223 866619 277449 316881 926199 968922 631360 896459 008304 121835 912308 708047 485620 363143 051353 661836 559183 976725 143732 174640 > 4²⁰⁷ [i]