MinT - Information on Result #2635492

Information on Result #2635492

Linear OOA(4²¹⁶, 75, F₄, 3, 172) (dual of [(75, 3), 9, 173]-NRT-code), using strength reduction based on linear OOA(4²¹⁶, 75, F₄, 3, 173) (dual of [(75, 3), 9, 174]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(4⁵⁴, 21, F₄, 3, 47) (dual of [(21, 3), 9, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,15P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(4¹⁵³, 54, F₄, 3, 125) (dual of [(54, 3), 9, 126]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(4⁷², 27, F₄, 3, 62) (dual of [(27, 3), 9, 63]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.