MinT - Best Known (103, 151, s)-Nets in Base 4

Best Known (103, 151, s)-Nets in Base 4

(103, 151, 240)-Net over F₄ — Constructive and digital

Digital (103, 151, 240)-net over F₄, using

2 times m-reduction [i] based on digital (103, 153, 240)-net over F₄, using
- trace code for nets [i] based on digital (1, 51, 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]

(103, 151, 520)-Net over F₄ — Digital

Digital (103, 151, 520)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(103, 151, 20034)-Net in Base 4 — Upper bound on s

There is no (103, 151, 20035)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 8 152386 692418 045196 354602 063285 880918 294696 465775 588183 522961 342667 227463 075565 699642 135464 > 4¹⁵¹ [i]