MinT - Best Known (110−44, 110, s)-Nets in Base 16

Best Known (110−44, 110, s)-Nets in Base 16

(110−44, 110, 536)-Net over F₁₆ — Constructive and digital

Digital (66, 110, 536)-net over F₁₆, using

trace code for nets [i] based on digital (11, 55, 268)-net over F₂₅₆, using
- net from sequence [i] based on digital (11, 267)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(110−44, 110, 1376)-Net over F₁₆ — Digital

Digital (66, 110, 1376)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(110−44, 110, 632926)-Net in Base 16 — Upper bound on s

There is no (66, 110, 632927)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 2 839235 699346 929492 523327 647650 245532 407692 773268 190571 427345 457393 869873 834497 274274 632012 902943 614013 896766 135631 445919 246933 439961 > 16¹¹⁰ [i]