MinT - Best Known (62, 62+52, s)-Nets in Base 16

Best Known (62, 62+52, s)-Nets in Base 16

(62, 62+52, 524)-Net over F₁₆ — Constructive and digital

Digital (62, 114, 524)-net over F₁₆, using

trace code for nets [i] based on digital (5, 57, 262)-net over F₂₅₆, using
- net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(62, 62+52, 660)-Net over F₁₆ — Digital

Digital (62, 114, 660)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(62, 62+52, 133893)-Net in Base 16 — Upper bound on s

There is no (62, 114, 133894)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 186098 540150 961429 643383 816952 985506 478611 716942 988272 753902 747839 463280 891378 012079 020272 293541 565632 375406 401150 790040 275327 057363 065536 > 16¹¹⁴ [i]