MinT - Information on Result #2631482

Information on Result #2631482

Linear OOA(4¹³⁷, 47, F₄, 3, 116) (dual of [(47, 3), 4, 117]-NRT-code), using strength reduction based on linear OOA(4¹³⁷, 47, F₄, 3, 117) (dual of [(47, 3), 4, 118]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁸, 4, F₄, 3, 8) (dual of [(4, 3), 4, 9]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;4,4) [i]
2. linear OOA(4¹²⁵, 43, F₄, 3, 108) (dual of [(43, 3), 4, 109]-NRT-code), using
  - strength reduction [i] based on linear OOA(4¹²⁵, 43, F₄, 3, 109) (dual of [(43, 3), 4, 110]-NRT-code), using
    - juxtaposition [i] based on
      1. 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]
      2. linear OOA(4⁸³, 29, F₄, 3, 73) (dual of [(29, 3), 4, 74]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code) (see above)
        linear OOA(4⁴¹, 15, F₄, 3, 37) (dual of [(15, 3), 4, 38]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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.