MinT - Best Known (136−32, 136, s)-Nets in Base 4

Best Known (136−32, 136, s)-Nets in Base 4

(136−32, 136, 1036)-Net over F₄ — Constructive and digital

Digital (104, 136, 1036)-net over F₄, using

trace code for nets [i] based on digital (2, 34, 259)-net over F₂₅₆, using
- net from sequence [i] based on digital (2, 258)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(136−32, 136, 1827)-Net over F₄ — Digital

Digital (104, 136, 1827)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(136−32, 136, 297104)-Net in Base 4 — Upper bound on s

There is no (104, 136, 297105)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 7588 920220 261647 735354 271324 121339 114706 469774 892622 285963 138321 976164 500715 559129 > 4¹³⁶ [i]