MinT - Information on Result #2447186

Information on Result #2447186

Linear OOA(5⁸⁷, 47, F₅, 2, 66) (dual of [(47, 2), 7, 67]-NRT-code), using strength reduction based on linear OOA(5⁸⁷, 47, F₅, 2, 67) (dual of [(47, 2), 7, 68]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5²³, 15, F₅, 2, 20) (dual of [(15, 2), 7, 21]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5²³, 16, F₅, 2, 20) (dual of [(16, 2), 9, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,11P) [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(5⁵⁷, 32, F₅, 2, 46) (dual of [(32, 2), 7, 47]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,17P) [i] based on function field F/F₅ with g(F) = 11 and N(F) ≥ 32, 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.