MinT - Best Known (60, 89, s)-Nets in Base 8

Best Known (60, 89, s)-Nets in Base 8

Digital (60, 89, 378)-net over F₈, using

(60, 89, 522)-net in base 8, using

8¹ times duplication [i] based on (59, 88, 522)-net in base 8, using
- base change [i] based on digital (37, 66, 522)-net over F₁₆, using
  - trace code for nets [i] based on digital (4, 33, 261)-net over F₂₅₆, using
    - net from sequence [i] based on digital (4, 260)-sequence over F₂₅₆, using
      - Niederreiter sequence [i]

Digital (60, 89, 1212)-net over F₈, using

There is no (60, 89, 410126)-net in base 8, because

1 times m-reduction [i] would yield (60, 88, 410126)-net in base 8, but
- the generalized Rao bound for nets shows that 8^mÂ â‰¥ 29 643702 844242 384476 291149 926878 938011 517437 270588 918822 483090 066892 747299 889104 > 8⁸⁸ [i]