MinT - Information on Result #2636166

Information on Result #2636166

Linear OOA(4²²⁵, 77, F₄, 3, 185) (dual of [(77, 3), 6, 186]-NRT-code), using strength reduction based on linear OOA(4²²⁵, 77, F₄, 3, 186) (dual of [(77, 3), 6, 187]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁶, 14, F₄, 3, 33) (dual of [(14, 3), 6, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,8P) [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.