MinT - Best Known (98, 98+38, s)-Nets in Base 2

Best Known (98, 98+38, s)-Nets in Base 2

(98, 98+38, 102)-Net over F₂ — Constructive and digital

Digital (98, 136, 102)-net over F₂, using

2¹ times duplication [i] based on digital (97, 135, 102)-net over F₂, using
- trace code for nets [i] based on digital (7, 45, 34)-net over F₈, using
  - net from sequence [i] based on digital (7, 33)-sequence over F₈, using
    - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34, using
      - a function field by SÃ©mirat [i]

(98, 98+38, 155)-Net over F₂ — Digital

Digital (98, 136, 155)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(98, 98+38, 1104)-Net in Base 2 — Upper bound on s

There is no (98, 136, 1105)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 87702 132926 423667 349476 538027 372799 778728 > 2¹³⁶ [i]