MinT - Information on Result #2880634

Information on Result #2880634

Linear OOA(3²⁴⁹, 167, F₃, 5, 82) (dual of [(167, 5), 586, 83]-NRT-code), using 3¹ times duplication based on linear OOA(3²⁴⁸, 167, F₃, 5, 82) (dual of [(167, 5), 587, 83]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁰, 19, F₃, 5, 41) (dual of [(19, 5), 45, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,53P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁹⁸, 148, F₃, 5, 82) (dual of [(148, 5), 542, 83]-NRT-code), using
  - extracting embedded OOA [i] based on digital (116, 198, 148)-net over F₃, using
    - trace code for nets [i] based on digital (17, 99, 74)-net over F₉, using
      - net from sequence [i] based on digital (17, 73)-sequence over F₉, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₉ with g(F) = 17 and N(F) ≥ 74, using
        a function field by GarcÃa and Quoos [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.