MinT - Information on Result #2648239

Information on Result #2648239

Linear OOA(9¹⁴⁹, 51, F₉, 3, 138) (dual of [(51, 3), 4, 139]-NRT-code), using strength reduction based on linear OOA(9¹⁴⁹, 51, F₉, 3, 139) (dual of [(51, 3), 4, 140]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(9³⁵, 13, F₉, 3, 34) (dual of [(13, 3), 4, 35]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9³⁵, 16, F₉, 3, 34) (dual of [(16, 3), 13, 35]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₉ with g(F) = 1 and N(F) ≥ 16, using
      - a function field by GarcÃa and Quoos [i]
2. linear OOA(9¹¹⁰, 38, F₉, 3, 104) (dual of [(38, 3), 4, 105]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(9²⁶, 10, F₉, 3, 26) (dual of [(10, 3), 4, 27]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(3;4,9) [i]
    2. linear OOA(9⁸⁰, 28, F₉, 3, 77) (dual of [(28, 3), 4, 78]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
        the Hermitian function field over F₉ [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.