MinT - Best Known (60, 106, s)-Nets in Base 8

Best Known (60, 106, s)-Nets in Base 8

(60, 106, 354)-Net over F₈ — Constructive and digital

Digital (60, 106, 354)-net over F₈, using

trace code for nets [i] based on digital (7, 53, 177)-net over F₆₄, using
- net from sequence [i] based on digital (7, 176)-sequence over F₆₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₆₄ with g(F) = 7 and N(F) ≥ 177, using
    - a function field by GarcÃa and Quoos [i]

(60, 106, 19548)-Net in Base 8 — Upper bound on s

There is no (60, 106, 19549)-net in base 8, because

the generalized Rao bound for nets shows that 8^mÂ â‰¥ 534466 127855 629080 740211 036537 535120 469508 917922 441097 653965 839679 296437 118403 687744 617411 471640 > 8¹⁰⁶ [i]