MinT - Best Known (64, 64+54, s)-Nets in Base 16

Best Known (64, 64+54, s)-Nets in Base 16

(64, 64+54, 524)-Net over F₁₆ — Constructive and digital

Digital (64, 118, 524)-net over F₁₆, using

trace code for nets [i] based on digital (5, 59, 262)-net over F₂₅₆, using
- net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(64, 64+54, 666)-Net over F₁₆ — Digital

Digital (64, 118, 666)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(64, 64+54, 133265)-Net in Base 16 — Upper bound on s

There is no (64, 118, 133266)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 12195 682805 486255 327661 315002 602227 064645 713763 498421 697983 214690 219785 100160 136590 014622 438799 816327 672185 058455 092587 547881 134362 679399 291456 > 16¹¹⁸ [i]