MinT - Best Known (88, 88+28, s)-Nets in Base 4

Best Known (88, 88+28, s)-Nets in Base 4

(88, 88+28, 1032)-Net over F₄ — Constructive and digital

Digital (88, 116, 1032)-net over F₄, using

trace code for nets [i] based on digital (1, 29, 258)-net over F₂₅₆, using
- net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
  - Niederreiter sequence [i]

(88, 88+28, 1419)-Net over F₄ — Digital

Digital (88, 116, 1419)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(88, 88+28, 196249)-Net in Base 4 — Upper bound on s

There is no (88, 116, 196250)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 6901 928765 047982 611475 272311 329100 802462 131107 579113 344151 549130 028376 > 4¹¹⁶ [i]