MinT - Information on Result #2663146

Information on Result #2663146

Linear OOA(4²⁵⁶, 86, F₄, 3, 221) (dual of [(86, 3), 2, 222]-NRT-code), using 4 step truncation based on linear OOA(4²⁶⁰, 88, F₄, 3, 225) (dual of [(88, 3), 4, 226]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,4P) [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(4²³³, 79, F₄, 3, 202) (dual of [(79, 3), 4, 203]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4²³, 9, F₄, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code) (see above)
    2. linear OOA(4²⁰⁶, 70, F₄, 3, 179) (dual of [(70, 3), 4, 180]-NRT-code), using
      - repeating each code word 5 times [i] based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.