MinT - Information on Result #2638321

Information on Result #2638321

Linear OOA(4²⁵¹, 86, F₄, 3, 202) (dual of [(86, 3), 7, 203]-NRT-code), using strength reduction based on linear OOA(4²⁵¹, 86, F₄, 3, 203) (dual of [(86, 3), 7, 204]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁴¹, 16, F₄, 3, 36) (dual of [(16, 3), 7, 37]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4⁴¹, 17, F₄, 3, 36) (dual of [(17, 3), 10, 37]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(4²⁰³, 70, F₄, 3, 166) (dual of [(70, 3), 7, 167]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(4⁴¹, 16, F₄, 3, 36) (dual of [(16, 3), 7, 37]-NRT-code) (see above)
    2. linear OOA(4¹⁵⁵, 54, F₄, 3, 129) (dual of [(54, 3), 7, 130]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(4⁷⁴, 27, F₄, 3, 64) (dual of [(27, 3), 7, 65]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,16P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.