MinT - Information on Result #2635938

Information on Result #2635938

Linear OOA(4²²², 76, F₄, 3, 177) (dual of [(76, 3), 6, 178]-NRT-code), using strength reduction based on linear OOA(4²²², 76, F₄, 3, 183) (dual of [(76, 3), 6, 184]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³³, 13, F₄, 3, 30) (dual of [(13, 3), 6, 31]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4³³, 14, F₄, 3, 30) (dual of [(14, 3), 9, 31]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,11P) [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(4¹⁸³, 63, F₄, 3, 152) (dual of [(63, 3), 6, 153]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(4⁵⁷, 21, F₄, 3, 50) (dual of [(21, 3), 6, 51]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,12P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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.