MinT - Best Known (100, 100+32, s)-Nets in Base 4

Best Known (100, 100+32, s)-Nets in Base 4

(100, 100+32, 1032)-Net over F₄ — Constructive and digital

Digital (100, 132, 1032)-net over F₄, using

trace code for nets [i] based on digital (1, 33, 258)-net over F₂₅₆, using
- net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(100, 100+32, 1531)-Net over F₄ — Digital

Digital (100, 132, 1531)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(100, 100+32, 210080)-Net in Base 4 — Upper bound on s

There is no (100, 132, 210081)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 29 643764 526668 569931 580221 160545 622505 778029 714153 302095 156212 189074 143468 844862 > 4¹³² [i]