MinT - Information on Result #2844949

Information on Result #2844949

Linear OOA(2²¹³, 44, F₂, 5, 158) (dual of [(44, 5), 7, 159]-NRT-code), using strength reduction based on linear OOA(2²¹³, 44, F₂, 5, 165) (dual of [(44, 5), 7, 166]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2²⁸, 7, F₂, 5, 25) (dual of [(7, 5), 7, 26]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,9P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁷⁸, 37, F₂, 5, 139) (dual of [(37, 5), 7, 140]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2²⁸, 7, F₂, 5, 25) (dual of [(7, 5), 7, 26]-NRT-code) (see above)
    2. linear OOA(2¹⁴³, 30, F₂, 5, 113) (dual of [(30, 5), 7, 114]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(2⁴³, 10, F₂, 5, 37) (dual of [(10, 5), 7, 38]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,12P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, 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.