MinT - Best Known (66, 66+56, s)-Nets in Base 16

Best Known (66, 66+56, s)-Nets in Base 16

(66, 66+56, 524)-Net over F₁₆ — Constructive and digital

Digital (66, 122, 524)-net over F₁₆, using

trace code for nets [i] based on digital (5, 61, 262)-net over F₂₅₆, using
- net from sequence [i] based on digital (5, 261)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(66, 66+56, 672)-Net over F₁₆ — Digital

Digital (66, 122, 672)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(66, 66+56, 132857)-Net in Base 16 — Upper bound on s

There is no (66, 122, 132858)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 799 239028 790262 747177 049363 699407 351452 783174 861794 645811 354035 198557 249060 628785 777960 361029 517617 948946 829908 996049 407268 195976 821636 569484 606536 > 16¹²² [i]