MinT - Best Known (132, 132+90, s)-Nets in Base 2

Best Known (132, 132+90, s)-Nets in Base 2

(132, 132+90, 68)-Net over F₂ — Constructive and digital

Digital (132, 222, 68)-net over F₂, using

trace code for nets [i] based on digital (21, 111, 34)-net over F₄, using
- net from sequence [i] based on digital (21, 33)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 21 and N(F) ≥ 34, using
    - T₅ from the second tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

(132, 132+90, 98)-Net over F₂ — Digital

Digital (132, 222, 98)-net over F₂, using

Gilbertâ€“VarÅ¡amov bound [i]

(132, 132+90, 475)-Net in Base 2 — Upper bound on s

There is no (132, 222, 476)-net in base 2, because

the generalized Rao bound for nets shows that 2^mÂ â‰¥ 7 234092 658138 984766 660742 769705 622107 317701 125886 032922 231705 541176 > 2²²² [i]