MinT - Best Known (76, 76+74, s)-Nets in Base 9

Best Known (76, 76+74, s)-Nets in Base 9

(76, 76+74, 200)-Net over F₉ — Constructive and digital

Digital (76, 150, 200)-net over F₉, using

trace code for nets [i] based on digital (1, 75, 100)-net over F₈₁, using
- net from sequence [i] based on digital (1, 99)-sequence over F₈₁, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈₁ with g(F) = 1 and N(F) ≥ 100, using
    - a function field by SÃ©mirat [i]

(76, 76+74, 293)-Net over F₉ — Digital

Digital (76, 150, 293)-net over F₉, using

Gilbertâ€“VarÅ¡amov bound [i]

(76, 76+74, 13509)-Net in Base 9 — Upper bound on s

There is no (76, 150, 13510)-net in base 9, because

the generalized Rao bound for nets shows that 9^mÂ â‰¥ 136998 302602 589475 862451 048000 972026 006127 980593 517920 947410 849419 114492 506344 606552 554444 613300 667318 782143 533842 079852 219692 781648 488768 675185 > 9¹⁵⁰ [i]