MinT - Information on Result #2632529

Information on Result #2632529

Linear OOA(4¹⁶⁴, 57, F₄, 3, 131) (dual of [(57, 3), 7, 132]-NRT-code), using strength reduction based on linear OOA(4¹⁶⁴, 57, F₄, 3, 134) (dual of [(57, 3), 7, 135]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4³⁸, 15, F₄, 3, 34) (dual of [(15, 3), 7, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹¹⁹, 42, F₄, 3, 99) (dual of [(42, 3), 7, 100]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁵⁶, 21, F₄, 3, 49) (dual of [(21, 3), 7, 50]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,13P) [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.