MinT - Information on Result #2641554

Information on Result #2641554

Linear OOA(5¹⁴³, 49, F₅, 3, 124) (dual of [(49, 3), 4, 125]-NRT-code), using strength reduction based on linear OOA(5¹⁴³, 49, F₅, 3, 127) (dual of [(49, 3), 4, 128]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5⁴⁴, 16, F₅, 3, 41) (dual of [(16, 3), 4, 42]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁹⁵, 33, F₅, 3, 85) (dual of [(33, 3), 4, 86]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(5⁴¹, 15, F₅, 3, 38) (dual of [(15, 3), 4, 39]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(5⁴¹, 16, F₅, 3, 38) (dual of [(16, 3), 7, 39]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16 (see above)
    2. linear OOA(5⁵⁰, 18, F₅, 3, 46) (dual of [(18, 3), 4, 47]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, 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.