MinT - Information on Result #2637202

Information on Result #2637202

Linear OOA(4²³⁸, 82, F₄, 3, 186) (dual of [(82, 3), 8, 187]-NRT-code), using strength reduction based on linear OOA(4²³⁸, 82, F₄, 3, 192) (dual of [(82, 3), 8, 193]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,17P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵⁷, 55, F₄, 3, 128) (dual of [(55, 3), 8, 129]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁷³, 27, F₄, 3, 63) (dual of [(27, 3), 8, 64]-NRT-code) (see above)
    2. linear OOA(4⁷⁶, 28, F₄, 3, 64) (dual of [(28, 3), 8, 65]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,19P) [i] based on function field F/F₄ with g(F) = 12 and N(F) ≥ 28, 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.