MinT - Information on Result #2662814

Information on Result #2662814

Linear OOA(4¹⁵⁷, 53, F₄, 3, 134) (dual of [(53, 3), 2, 135]-NRT-code), using 19 step truncation based on linear OOA(4¹⁷⁶, 60, F₄, 3, 153) (dual of [(60, 3), 4, 154]-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(4¹⁴⁹, 51, F₄, 3, 130) (dual of [(51, 3), 4, 131]-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(4¹²², 42, F₄, 3, 107) (dual of [(42, 3), 4, 108]-NRT-code), using
      - repeating each code word 3 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.