MinT - Information on Result #2438811

Information on Result #2438811

Linear OOA(4⁶⁹, 37, F₄, 2, 52) (dual of [(37, 2), 5, 53]-NRT-code), using strength reduction based on linear OOA(4⁶⁹, 37, F₄, 2, 54) (dual of [(37, 2), 5, 55]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹³, 9, F₄, 2, 12) (dual of [(9, 2), 5, 13]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
2. linear OOA(4⁵¹, 28, F₄, 2, 41) (dual of [(28, 2), 5, 42]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4²³, 14, F₄, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [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.