MinT - Information on Result #2634902

Information on Result #2634902

Linear OOA(4²⁰⁸, 71, F₄, 3, 172) (dual of [(71, 3), 5, 173]-NRT-code), using strength reduction based on linear OOA(4²⁰⁸, 71, F₄, 3, 176) (dual of [(71, 3), 5, 177]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [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(4¹⁶⁶, 57, F₄, 3, 141) (dual of [(57, 3), 5, 142]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
    2. linear OOA(4¹²⁴, 43, F₄, 3, 106) (dual of [(43, 3), 5, 107]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
        linear OOA(4⁸², 29, F₄, 3, 71) (dual of [(29, 3), 5, 72]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(4³⁷, 14, F₄, 3, 34) (dual of [(14, 3), 5, 35]-NRT-code) (see above)
        linear OOA(4⁴⁰, 15, F₄, 3, 36) (dual of [(15, 3), 5, 37]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,8P) [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.