MinT - Best Known (94−38, 94, s)-Nets in Base 16

Best Known (94−38, 94, s)-Nets in Base 16

(94−38, 94, 532)-Net over F₁₆ — Constructive and digital

Digital (56, 94, 532)-net over F₁₆, using

trace code for nets [i] based on digital (9, 47, 266)-net over F₂₅₆, using
- net from sequence [i] based on digital (9, 265)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(94−38, 94, 1138)-Net over F₁₆ — Digital

Digital (56, 94, 1138)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(94−38, 94, 479005)-Net in Base 16 — Upper bound on s

There is no (56, 94, 479006)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 153919 722309 167726 863372 797498 764447 801510 097702 891516 294702 710071 579304 051709 364302 122206 667681 466905 647047 875686 > 16⁹⁴ [i]