MinT - Information on Result #2638423

Information on Result #2638423

Linear OOA(4²⁵², 88, F₄, 3, 191) (dual of [(88, 3), 12, 192]-NRT-code), using strength reduction based on linear OOA(4²⁵², 88, F₄, 3, 193) (dual of [(88, 3), 12, 194]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷², 28, F₄, 3, 60) (dual of [(28, 3), 12, 61]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁶⁸, 60, F₄, 3, 132) (dual of [(60, 3), 12, 133]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁶⁹, 27, F₄, 3, 59) (dual of [(27, 3), 12, 60]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(4⁸⁷, 33, F₄, 3, 72) (dual of [(33, 3), 12, 73]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,26P) [i] based on function field F/F₄ with g(F) = 15 and N(F) ≥ 33, 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.