MinT - Best Known (8, 8+8, s)-Nets in Base 5

Best Known (8, 8+8, s)-Nets in Base 5

(8, 8+8, 52)-Net over F₅ — Constructive and digital

Digital (8, 16, 52)-net over F₅, using

trace code for nets [i] based on digital (0, 8, 26)-net over F₂₅, using
- net from sequence [i] based on digital (0, 25)-sequence over F₂₅, using
  - generalized Faure sequence [i]
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 0 and N(F) ≥ 26, using
    - the rational function field F₂₅(x) [i]
  - Niederreiter sequence [i]

(8, 8+8, 343)-Net in Base 5 — Upper bound on s

There is no (8, 16, 344)-net in base 5, because

the generalized Rao bound for nets shows that 5^mÂ â‰¥ 153746 622465 > 5¹⁶ [i]