MinT - Best Known (94, 240, s)-Nets in Base 4

Best Known (94, 240, s)-Nets in Base 4

(94, 240, 104)-Net over F₄ — Constructive and digital

Digital (94, 240, 104)-net over F₄, using

t-expansion [i] based on digital (73, 240, 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]

(94, 240, 144)-Net over F₄ — Digital

Digital (94, 240, 144)-net over F₄, using

t-expansion [i] based on digital (91, 240, 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]

(94, 240, 831)-Net in Base 4 — Upper bound on s

There is no (94, 240, 832)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 3 269389 783278 192457 767803 872812 278378 105437 447833 068587 228802 586002 650199 845592 294512 511784 442497 224616 643971 670718 835328 397411 575116 200670 471820 > 4²⁴⁰ [i]