MinT - Information on Result #2439054

Information on Result #2439054

Linear OOA(4⁸⁴, 47, F₄, 2, 57) (dual of [(47, 2), 10, 58]-NRT-code), using strength reduction based on linear OOA(4⁸⁴, 47, F₄, 2, 58) (dual of [(47, 2), 10, 59]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁰, 20, F₄, 2, 23) (dual of [(20, 2), 10, 24]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³⁰, 21, F₄, 2, 23) (dual of [(21, 2), 12, 24]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,18P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4⁴⁴, 27, F₄, 2, 34) (dual of [(27, 2), 10, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,19P) [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.