MinT - Information on Result #2640989

Information on Result #2640989

Linear OOA(5¹²⁸, 44, F₅, 3, 109) (dual of [(44, 3), 4, 110]-NRT-code), using strength reduction based on linear OOA(5¹²⁸, 44, F₅, 3, 114) (dual of [(44, 3), 4, 115]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5³², 12, F₅, 3, 30) (dual of [(12, 3), 4, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,5P) [i] based on function field F/F₅ with g(F) = 2 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁹², 32, F₅, 3, 83) (dual of [(32, 3), 4, 84]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(5⁴⁴, 16, F₅, 3, 41) (dual of [(16, 3), 4, 42]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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.