MinT - Best Known (60, 107, s)-Nets in Base 16

Best Known (60, 107, s)-Nets in Base 16

(60, 107, 526)-Net over F₁₆ — Constructive and digital

Digital (60, 107, 526)-net over F₁₆, using

1 times m-reduction [i] based on digital (60, 108, 526)-net over F₁₆, using
- trace code for nets [i] based on digital (6, 54, 263)-net over F₂₅₆, using
  - net from sequence [i] based on digital (6, 262)-sequence over F₂₅₆, using
    - Niederreiter sequence [i]

(60, 107, 782)-Net over F₁₆ — Digital

Digital (60, 107, 782)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(60, 107, 222721)-Net in Base 16 — Upper bound on s

There is no (60, 107, 222722)-net in base 16, because

1 times m-reduction [i] would yield (60, 106, 222722)-net in base 16, but
- the generalized Rao bound for nets shows that 16^mÂ â‰¥ 43 322979 642077 166839 620516 225168 039759 944990 977357 115762 483346 913347 853049 181207 307755 901916 990117 148222 404325 019498 826771 279616 > 16¹⁰⁶ [i]