MinT - Best Known (95, 95+46, s)-Nets in Base 4

Best Known (95, 95+46, s)-Nets in Base 4

(95, 95+46, 240)-Net over F₄ — Constructive and digital

Digital (95, 141, 240)-net over F₄, using

trace code for nets [i] based on digital (1, 47, 80)-net over F₆₄, using
- net from sequence [i] based on digital (1, 79)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
    - a function field by SÃ©mirat [i]

(95, 95+46, 444)-Net over F₄ — Digital

Digital (95, 141, 444)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(95, 95+46, 15406)-Net in Base 4 — Upper bound on s

There is no (95, 141, 15407)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 7 778564 664027 761510 644604 098478 227576 816805 003783 802946 637824 946773 064493 552761 224792 > 4¹⁴¹ [i]