MinT - Best Known (56, 102, s)-Nets in Base 16

Best Known (56, 102, s)-Nets in Base 16

(56, 102, 524)-Net over F₁₆ — Constructive and digital

Digital (56, 102, 524)-net over F₁₆, using

trace code for nets [i] based on digital (5, 51, 262)-net over F₂₅₆, using
- net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(56, 102, 647)-Net over F₁₆ — Digital

Digital (56, 102, 647)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(56, 102, 137510)-Net in Base 16 — Upper bound on s

There is no (56, 102, 137511)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 661 113482 207473 151440 654104 801018 865085 321526 658622 978449 163598 233397 420688 426688 474227 257445 321590 997283 970584 074498 756096 > 16¹⁰² [i]