MinT - Best Known (48, 122, s)-Nets in Base 16

Best Known (48, 122, s)-Nets in Base 16

(48, 122, 243)-Net over F₁₆ — Constructive and digital

Digital (48, 122, 243)-net over F₁₆, using

net from sequence [i] based on digital (48, 242)-sequence over F₁₆, using
- Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₁₆ with g(F) = 48 and N(F) ≥ 243, using
  - a function field by GarcÃa and Quoos [i]

(48, 122, 9103)-Net in Base 16 — Upper bound on s

There is no (48, 122, 9104)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 802 225891 684408 978944 267602 026913 439097 898536 522173 421841 782804 370694 891572 784091 373124 459474 578540 626962 601735 119817 606927 821530 127390 035413 730596 > 16¹²² [i]