MinT - Best Known (46, 78, s)-Nets in Base 16

Best Known (46, 78, s)-Nets in Base 16

(46, 78, 528)-Net over F₁₆ — Constructive and digital

Digital (46, 78, 528)-net over F₁₆, using

trace code for nets [i] based on digital (7, 39, 264)-net over F₂₅₆, using
- net from sequence [i] based on digital (7, 263)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(46, 78, 902)-Net over F₁₆ — Digital

Digital (46, 78, 902)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(46, 78, 336140)-Net in Base 16 — Upper bound on s

There is no (46, 78, 336141)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 8343 753049 007642 380190 878774 607100 397422 879617 126907 542298 450172 911207 016563 377493 252136 195216 > 16⁷⁸ [i]