MinT - Best Known (130−90, 130, s)-Nets in Base 16

Best Known (130−90, 130, s)-Nets in Base 16

(130−90, 130, 225)-Net over F₁₆ — Constructive and digital

Digital (40, 130, 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]

(130−90, 130, 3512)-Net in Base 16 — Upper bound on s

There is no (40, 130, 3513)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 3 468614 194527 983769 340553 437403 218775 011846 063984 616713 465703 476761 972763 275719 487269 842467 999720 801535 637905 541673 326204 629591 618143 959822 802586 277395 397776 > 16¹³⁰ [i]