MinT - Information on Result #2446779

Information on Result #2446779

Linear OOA(5⁵⁰, 27, F₅, 2, 41) (dual of [(27, 2), 4, 42]-NRT-code), using strength reduction based on linear OOA(5⁵⁰, 27, F₅, 2, 42) (dual of [(27, 2), 4, 43]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5¹⁴, 9, F₅, 2, 13) (dual of [(9, 2), 4, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5¹⁴, 10, F₅, 2, 13) (dual of [(10, 2), 6, 14]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,6P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(5³², 18, F₅, 2, 28) (dual of [(18, 2), 4, 29]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;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.