MinT - Information on Result #2630955

Information on Result #2630955

Linear OOA(4¹²¹, 43, F₄, 3, 97) (dual of [(43, 3), 8, 98]-NRT-code), using strength reduction based on linear OOA(4¹²¹, 43, F₄, 3, 99) (dual of [(43, 3), 8, 100]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴⁰, 16, F₄, 3, 35) (dual of [(16, 3), 8, 36]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴⁰, 17, F₄, 3, 35) (dual of [(17, 3), 11, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, 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.