MinT - Information on Result #2634008

Information on Result #2634008

Linear OOA(4¹⁹⁴, 66, F₄, 3, 162) (dual of [(66, 3), 4, 163]-NRT-code), using strength reduction based on linear OOA(4¹⁹⁴, 66, F₄, 3, 168) (dual of [(66, 3), 4, 169]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4²⁶, 10, F₄, 3, 24) (dual of [(10, 3), 4, 25]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₄ with g(F) = 2 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁶⁴, 56, F₄, 3, 143) (dual of [(56, 3), 4, 144]-NRT-code), using
  - repeating each code word 4 times [i] based on linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, 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.