MinT - Best Known (200−94, 200, s)-Nets in Base 4

Best Known (200−94, 200, s)-Nets in Base 4

(200−94, 200, 130)-Net over F₄ — Constructive and digital

Digital (106, 200, 130)-net over F₄, using

t-expansion [i] based on digital (105, 200, 130)-net over F₄, using
- net from sequence [i] based on digital (105, 129)-sequence over F₄, using
  - Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₄ with g(F) = 105 and N(F) ≥ 130, using
    - T₇ from the second tower of function fields by GarcÃa and Stichtenoth over F₄ [i]

(200−94, 200, 175)-Net over F₄ — Digital

Digital (106, 200, 175)-net over F₄, using

Gilbertâ€“VarÅ¡amov bound [i]

(200−94, 200, 2194)-Net in Base 4 — Upper bound on s

There is no (106, 200, 2195)-net in base 4, because

the generalized Rao bound for nets shows that 4^mÂ â‰¥ 2 591634 684503 520131 546462 564639 206595 171054 754187 230590 310340 700443 979799 466453 598095 736132 914082 260235 263221 425219 626240 > 4²⁰⁰ [i]