MinT - Information on Result #2635640

Information on Result #2635640

Linear OOA(4²¹⁸, 81, F₄, 3, 150) (dual of [(81, 3), 25, 151]-NRT-code), using strength reduction based on linear OOA(4²¹⁸, 81, F₄, 3, 151) (dual of [(81, 3), 25, 152]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁰, 25, F₄, 3, 40) (dual of [(25, 3), 25, 41]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁵⁰, 26, F₄, 3, 40) (dual of [(26, 3), 28, 41]-NRT-code), using
    - algebraic-geometric NRT-code AG(3;F,37P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁴³, 56, F₄, 3, 110) (dual of [(56, 3), 25, 111]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,57P) [i] based on function field F/F₄ with g(F) = 33 and N(F) ≥ 56, using
    - F₅ from the tower of function fields by GarcÃa and Stichtenoth over F₄ [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.