MinT - Best Known (46, 98, s)-Nets in Base 16

Best Known (46, 98, s)-Nets in Base 16

(46, 98, 225)-Net over F₁₆ — Constructive and digital

Digital (46, 98, 225)-net over F₁₆, using

t-expansion [i] based on digital (40, 98, 225)-net over F₁₆, using
- net from sequence [i] based on digital (40, 224)-sequence over F₁₆, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 40 and N(F) ≥ 225, using
    - a function field by GarcÃa and Quoos [i]

(46, 98, 262)-Net over F₁₆ — Digital

Digital (46, 98, 262)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(46, 98, 24297)-Net in Base 16 — Upper bound on s

There is no (46, 98, 24298)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 10097 153638 556692 328446 646127 197217 277157 866946 770115 670056 558474 439935 000001 722883 174737 660957 900912 012895 116326 018096 > 16⁹⁸ [i]