MinT - Best Known (110−62, 110, s)-Nets in Base 16

Best Known (110−62, 110, s)-Nets in Base 16

(110−62, 110, 243)-Net over F₁₆ — Constructive and digital

Digital (48, 110, 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]

(110−62, 110, 15493)-Net in Base 16 — Upper bound on s

There is no (48, 110, 15494)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 2 842462 687735 894402 243229 929404 444676 644248 884321 496818 485316 677131 777195 342876 575530 352262 662527 058238 975252 132449 213569 730263 430336 > 16¹¹⁰ [i]