MinT - Information on Result #2632714

Information on Result #2632714

Linear OOA(4¹⁶⁸, 58, F₄, 3, 137) (dual of [(58, 3), 6, 138]-NRT-code), using strength reduction based on linear OOA(4¹⁶⁸, 58, F₄, 3, 138) (dual of [(58, 3), 6, 139]-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(4¹²⁹, 45, F₄, 3, 107) (dual of [(45, 3), 6, 108]-NRT-code), using
  - repeating each code word 3 times [i] based on linear OOA(4³⁹, 15, F₄, 3, 35) (dual of [(15, 3), 6, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,9P) [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.