MinT - Best Known (70, 128, s)-Nets in Base 16

Best Known (70, 128, s)-Nets in Base 16

(70, 128, 526)-Net over F₁₆ — Constructive and digital

Digital (70, 128, 526)-net over F₁₆, using

trace code for nets [i] based on digital (6, 64, 263)-net over F₂₅₆, using
- net from sequence [i] based on digital (6, 262)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(70, 128, 752)-Net over F₁₆ — Digital

Digital (70, 128, 752)-net over F₁₆, using

Gilbertâ€“VarÅ¡amov bound [i]

(70, 128, 160592)-Net in Base 16 — Upper bound on s

There is no (70, 128, 160593)-net in base 16, because

the generalized Rao bound for nets shows that 16^mÂ â‰¥ 13410 003682 004410 913787 132255 322437 115312 899051 379174 468134 855205 496490 550689 780708 313302 241587 281375 196911 923075 080643 427851 541376 686628 469530 078024 245056 > 16¹²⁸ [i]