MinT - Information on Result #2638692

Information on Result #2638692

Linear OOA(4²⁵⁵, 88, F₄, 3, 199) (dual of [(88, 3), 9, 200]-NRT-code), using strength reduction based on linear OOA(4²⁵⁵, 88, F₄, 3, 200) (dual of [(88, 3), 9, 201]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4¹⁸, 9, F₄, 3, 17) (dual of [(9, 3), 9, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,9P) [i] based on function field F/F₄ with g(F) = 1 and N(F) ≥ 9, using
    - the Hermitian function field over F₄ [i]
2. linear OOA(4²²⁸, 79, F₄, 3, 182) (dual of [(79, 3), 9, 183]-NRT-code), using
  - 6 step truncation [i] based on linear OOA(4²³⁴, 81, F₄, 3, 188) (dual of [(81, 3), 9, 189]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(4⁷², 27, F₄, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.