MinT - Information on Result #2630421

Information on Result #2630421

Linear OOA(4¹⁰³, 37, F₄, 3, 82) (dual of [(37, 3), 8, 83]-NRT-code), using strength reduction based on linear OOA(4¹⁰³, 37, F₄, 3, 84) (dual of [(37, 3), 8, 85]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²², 10, F₄, 3, 20) (dual of [(10, 3), 8, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.