MinT - Information on Result #2630565

Information on Result #2630565

Linear OOA(4¹⁰⁸, 38, F₄, 3, 88) (dual of [(38, 3), 6, 89]-NRT-code), using strength reduction based on linear OOA(4¹⁰⁸, 38, F₄, 3, 90) (dual of [(38, 3), 6, 91]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²⁴, 10, F₄, 3, 22) (dual of [(10, 3), 6, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁷⁸, 28, F₄, 3, 67) (dual of [(28, 3), 6, 68]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,8P) [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.