MinT - Information on Result #2438640

Information on Result #2438640

Linear OOA(4⁵⁵, 29, F₄, 2, 45) (dual of [(29, 2), 3, 46]-NRT-code), using strength reduction based on linear OOA(4⁵⁵, 29, F₄, 2, 46) (dual of [(29, 2), 3, 47]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³, 3, F₄, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³, 4, F₄, 2, 3) (dual of [(4, 2), 5, 4]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;5,4) [i]
2. linear OOA(4⁴⁹, 26, F₄, 2, 42) (dual of [(26, 2), 3, 43]-NRT-code), using
  - 2 step truncation [i] based on linear OOA(4⁵¹, 27, F₄, 2, 44) (dual of [(27, 2), 3, 45]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(4¹⁵, 9, F₄, 2, 14) (dual of [(9, 2), 3, 15]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,3P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
        the Hermitian function field over F₄ [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.